rational zeros calculator

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(Enter your answers as a comma P(X) = 9x - 4x3 + x2 - x + 3 6. We can use synthetic division to test these possible zeros. ©2013-2020 DoMyHomework123.com All Rights Reserved. Find all rational zeros of the polynomial function. Test x =1: Test x = º1: Enter all answers including repetitions P(X) = x - 3+* - 5x + 15x2 + 4x - 12 Using the Factor Theorem and Rational Zeros Theorem To solve higher degree polynomials without using the cubic or quartic formulas, we have two approaches: 1. By using this website, you agree to our Cookie Policy. James Stewart + 2 others. Able to display the work process and the detailed explanation. If you aren't sure what finding rational zeros is all about, don't worry. Use the Rational Zero Theorem to list all possible rational zeros of the polynomial function. We can use synthetic division to test these possible zeros. Find its factors (with plus and minus): ±,±,±,±. We have a professional mathematician’s team ready to handle any college math problem from calculus, statistics, algebra, trigonometry, etc. The steps for using this calculator are as easy as pie. Find the zeros of an equation using this calculator. Using the Rational Zero Theorem Find the rational zeros of ƒ(x) = x3+ 2x2º 11x º 12. Rational Zero Theorem. The steps for using this calculator are as easy as pie. The calculator does it with help of the rational root theorem to accurately find the rational zeros of your polynomial.. You can also factor it further using more traditional methods, if possible. You’re not alone. All you have to do is: Enter a polynomial; Click on the ‘Calculate button.’ Once you enter the values, the calculator will apply the rational zeros theorem to generate all the possible zeros for you. To find out more about our privacy terms and cookie policy, please view Terms of Use. Diameter calculation algebra, poems about quadratic roots, freshman algebra problems, ged answers cheats. They will be the possible values of q. It not only assists you with your math problems, but also gives all the necessary steps in detail so that you can improve the understanding of the subject. If a polynomial function, written in descending order of the exponents, has integer coefficients, then any rational zero must be of the form ± p / q, where p is a factor of the constant term and q is a factor of the leading coefficient. All you have to do is: Once you enter the values, the calculator will apply the rational zeros theorem to generate all the possible zeros for you. Can you elaborate a little more. For example, 4 and −4 are square roots of 16, because 4² = (−4)² = 16. If the coefficients of the polynomial (1) are specified to be integers, then rational roots must have a numerator which is a factor of and a denominator which is a factor of (with either sign possible). real zeros (whether rational or irrational) can be found graphically as x-intercepts. Without a calculator find all zeros of the function. Solution: 1) The equation is already arranged in descending order. Example: with the zeros -2 0 3 4 5, the simplest polynomial is x 5 -10x 4 +23x 3 +34x 2 -120x. Glencoe Accounting: Real-World Applications and Connections, First-Year Course aswers, mixed numbers and decimals, adding and subtracting money. All model papers offered by DoMyHomework123.com should be properly referenced. All common integration techniques and even special functions are supported. Solve. Rational Roots Test. What specifically are your difficulties with rational zero calculator? According to the rational zero theorem, any rational zero must have a factor of 3 in the numerator and a factor of 2 in the denominator. In Example 2, we learned that any rational zero must be on the list $$\left\{\pm 1,\pm \dfrac{1}{2} ,\pm 3,\pm \dfrac{3}{2} \right\}$$. Get Rational zero test calculator news alerts. Then write all the possible values of (p/q). It helps you perform the rational root test, that is, listing all possible rational zeros of an integer-coefficient polynomial. The factors of 8 are ± 1, ± 2, ± 4, ± 8 and the factors of 1 are ± 1. The Rational Zero Theorem If f (x) = a n xn + a n-1 xn-1 +…+ a 1 x + a 0 has integer coefficients and (where is reduced) is a rational zero, then p is a factor of the constant term a 0 and q is a factor of the leading coefficient a n. p q. Help is just but a click away. You will then simplify every value and do away with any duplicates. This online calculator finds the roots of given polynomial. These are all the rational roots of f(x). It helps you practice by showing you the full working (step by step integration). Find its factors (with plus and minus): ±,±,±,±. Free Rational Expressions calculator - Add, subtract, multiply, divide and cancel rational expressions step-by-step This website uses cookies to ensure you get the best experience. The trailing coefficient (coefficient of the constant term) is . Rational zero test calculator Famous Problems of Geometry and How to Solve Them. Enter Expression Example : x^2 - 4 Input Interpretation. I think you can details by clicking here : Solving Quadratic Equations by Completing the Square, Adding and Subtracting Rational Expressions With Like Denominators, Solving Linear Systems of Equations by Elimination, Solving Systems of Equation by Substitution and Elimination, Solving Linear Systems of Equations by Graphing, Recognizing Polynomial Equations from their Graphs, Factoring a Sum or Difference of Two Cubes, Solving Nonlinear Equations by Substitution, Finding the Equation of an Inverse Function, finding all rational zeros in a function online calculator, integer additon multistep free worksheets, https://algebra-calculator.com/arithmetics-with-decimals.html. Rational Zeros Theorem Calculator The calculator will find all possible rational roots of the polynomial, using the Rational Zeros Theorem. For example, 4 and −4 are square roots of 16, because 4² = (−4)² = 16. Suppose a is root of the polynomial P\left( x \right) that means P\left( a \right) = 0.In other words, if we substitute a into the polynomial P\left( x \right) and get zero, 0, it means that the input value is a root of the function. The calculator will list all possible rational zeros after entering the required values. The constant term is 8 and the leading coefficient is 1, so possible rational zero of Q = factor of 8 factor of 1. The Factor Theorem 2. How do you use the Rational Zeros theorem to make a list of all possible rational zeros, and use the Descarte's rule of signs to list the possible positive/negative zeros of #f(x)=36x^4-12x^3-11x^2+2x+1#? rational zero theorem 5 h(x) = 6x4 2+ 12x3 − 16x + 10. rational roots 3x3 − 5x2 + 5x − 2. Diameter calculation algebra, poems about quadratic roots, freshman algebra problems, ged answers cheats. James Stewart + 2 others. Please use this form if you would like to have this math solver on your website, free of charge. All common integration techniques and even special functions are supported. Buy Find arrow_forward. 2) Factors of the constant term 2 is = ±1, ±2 To determine the values, use the synthetic function of (p/q) for which P (p/q) = 0. All you have to do is: Enter a polynomial; Click on the ‘Calculate button.’ Once you enter the values, the calculator will apply the rational zeros theorem to generate all the possible zeros for you. Continue plugging each product in to find the rational zeros. In a fraction of a second, the results will be out. Square Root. The steps for using this calculator are as easy as pie. Dec 14, 2016 - This Pin was discovered by Sarah Dutton. With this tool, students can determine which possible roots form the actual rational root. Success! Plugging 5 into the equation results in (5)^2 - 6* (5) + 5 = 25-30+5=0, so 5 is another rational zero. (Enter your answers as a comma-separated list. Solution The Rational Zero Theorem tells us that if $\frac{p}{q}$ is a zero of $f\left(x\right)$, then p is a factor of 1 and q is a factor of 2. Solve. Find more Mathematics widgets in Wolfram|Alpha. This online calculator finds the roots of given polynomial. I am in a real situation . By using this website, you agree to our Cookie Policy. For the example, plugging 1 into the equation results in (1)^2 - 6* (1) + 5 = 1-6+5 = 0, so 1 is a rational zero. These are all the rational roots of f(x). Guess what, I was down with fever last week, and had to miss a few lectures because of that. SOLUTION List the possible rational zeros … This video demonstrates how to find the zeros of a function using any of the TI-84 Series graphing calculators. The Rational Zeros Theorem The Rational Zeros Theorem states: If P(x) is a polynomial with integer coefficients and if is a zero of P(x) (P() = 0), then p is a factor of the constant term of P(x) and q is a factor of the leading coefficient of P(x). Matrix Calculator. Get the free "Zeros Calculator" widget for your website, blog, Wordpress, Blogger, or iGoogle. Please enter one to five zeros separated by space. So, the possible rational zeros are: x = ±1 1, ±2 1, ±3 1, ±4 1, ±6 1, ±1 1 2 Test these zeros using synthetic division. Created, developed, and nurtured by … The trailing coefficient (coefficient of the constant term) is . Since factors can be negative, you should therefore include (p/q) and -(p/q). 0 0. A free online 2D graphing calculator (plotter), or curve calculator, that can plot piecewise, linear, quadratic, cubic, quartic, polynomial, trigonome. Hey guys! The calculator will try to factor any polynomial (binomial, trinomial, quadratic, etc. Do not agonize yourself finding rational zeros manually when you can get it done by experts - just say "do my math for me" and watch the magic happen! Discover (and save!) The Rational Zero Theorem gives a list of possiblerational zeros of a polynomial function. For Polynomials of degree less than or equal to 4, the exact value of any roots (zeros) of the polynomial are returned. Precalculus: Mathematics for Calcu... 7th Edition. Cola. The Integral Calculator supports definite and indefinite integrals (antiderivatives) as well as integrating functions with many variables. f(x) 2= x3 − 3x − 6x + 8: 5. your own Pins on Pinterest Using the Factor Theorem and Rational Zeros Theorem To solve higher degree polynomials without using the cubic or quartic formulas, we have two approaches: 1. Publisher: Brooks Cole. Approximate solution Here are some examples of using the Factor Theorem Example Find all zeros of P x 6x3 29x2 20x 28. Can anyone give some advice? By continuing to use this site, you consent to the use of cookies. ISBN: 9781305071759. The Rational Roots (or Rational Zeroes) Test is a handy way of obtaining a list of useful first guesses when you are trying to find the zeroes (roots) of a polynomial. The polynomial can be up to fifth degree, so have five zeros at maximum. Type a math problem. Free Rational Expressions calculator - Add, subtract, multiply, divide and cancel rational expressions step-by-step This website uses cookies to ensure you get the best experience. The possibilities of p/ q, in simplest form, are . It helps you practice by showing you the full working (step by step integration). The zeros of a polynomial equation are the solutions of the function f(x) = 0. rational roots x3 − 7x + 6. Discover (and save!) If you're one of the lucky few who get to use calculators in this chapter, the last video is for you! In a fraction of a second, the results will be out. Suppose a is root of the polynomial P\left( x \right) that means P\left( a \right) = 0.In other words, if we substitute a into the polynomial P\left( x \right) and get zero, 0, it means that the input value is a root of the function. Cola. Rational Roots Test. P ( x ) = x 50 − 5 x 25 + x 2 − 1. ), with steps shown.

Find more Mathematics widgets in Wolfram|Alpha. In Example 2, we learned that any rational zero must be on the list $$\left\{\pm 1,\pm \dfrac{1}{2} ,\pm 3,\pm \dfrac{3}{2} \right\}$$. rational roots 2x2 + 4x − 6. rational-roots-calculator. I recommend using Algebrator. Only positive numbers make sense as dimensions for a cake, so we need not test any negative values. f(x)=3x^5-2x^4-15x^3+10x^2+12x-8 (a) Use the Rational Zero Theorem to list all possible rational zeros for f(x) (b) Use Descartes's Rule of Signs to determine the possible number of positive and negative real zeros for f(x) (c) Find all roots of f(x) algebraically Example 1 Find all the rational zeros of f (x) = 2 x 3 + 3 x 2 – 8 x + 3 The calculator will find zeros (exact and numerical, real and complex) of the linear, quadratic, cubic, quartic, polynomial, rational, irrational, exponential, logarithmic, trigonometric, hyperbolic, and absolute value function on the given interval. They constitute all the possible values of p. Do the same for all the factors of the leading coefficient. James Stewart + 2 others. Algebra-calculator.com makes available useful strategies on finding all rational zeros in a function online calculator, trinomials and geometry and other algebra subject areas. en. Buy Find arrow_forward. Polynomials With No Rational Zeros Show that the polynomial does not have any rational zeros. (If you don't get to use calculators, don't look. It can also be said as the roots of the polynomial equation. This follows since a polynomial of polynomial order with rational roots can be expressed as (2) where the roots are , , ..., and . function, but every rational zero of the polynomial function will appear somewhere in the list. 90. Not every number in the list will be a zero of the function, but every rational zero of the polynomial function will appear somewhere in the list. How do I get hold of it ? $rational\:roots\:6x^4-11x^3+8x^2-33x-30$. In case that you have to have guidance on algebra review or even concepts of mathematics, Algebra-calculator.com is always the excellent place to check out! rational roots 6x4 − 11x3 + 8x2 − 33x − 30. Find more Mathematics … Equivalently, the theorem gives all possible rational roots of a polynomial equation. help service there is. These are the possible values for . The Rational Zero Theorem helps us to narrow down the number of possible rational zeros using the ratio of the factors of the constant term and factors of the leading coefficient of the polynomial Consider a quadratic function with two zeros, \displaystyle x=\frac {2} {5} x = 5 It helped me in my woes in algebra and my marks significantly improved since I used this. The calculator will show you the work and detailed explanation. Find the Roots of a Polynomial Equation . Calculation: By the rational zeros theorem the rational zeros of Q are of the form, possible rational zero of Q = factor of constant term factor of leading coefficient.

Find more Mathematics widgets in Wolfram|Alpha. however, complex zeros (with imaginary parts) will not be found as x-intercepts, and must be found by other means . Lv 6. I recommend this online tool to help you with your algebra stuff. in the simplest form therefore, the values of p/q are: ±1, ±1/2, ±3, ±3/2. Calculation: By the rational zeros theorem the rational zeros of Q are of the form, possible rational zero of Q = factor of constant term factor of leading coefficient. Example: List all possible rational zeros of f(x) = x 3-2x 2-x+2 using rational zeros theorem. The Factor Theorem 2. With this tool, students can determine which possible roots form the actual rational root. To test the values, we can either use direct substitution or the synthetic division and then finding the remainder. Use the Rational Zero Theorem to list all possible rational zeros for the given function Since all coefficients are integers, we can apply the rational zeros theorem. Buy Find arrow_forward. Precalculus: Mathematics for Calcu... 7th Edition. Matrix Calculator. Make a list of all the factors of the constant term. BYJU’S online rational inequalities calculator tool performs the calculation faster, and it displays the solution in a fraction of seconds. Let's do your example first. A value of x that makes the equation equal to 0 is termed as zeros. If the coefficients of the polynomial (1) are specified to be integers, then rational roots must have a numerator which is a factor of and a denominator which is a factor of (with either sign possible). In such cases the search can be shortened by sketching the function’s graph—either by hand or by using a graphing calculator. In a fraction of a second, the results will be out. Use the Rational Zero Theorem to list all possible rational zeros for the given function Since all coefficients are integers, we can apply the rational zeros theorem. I am in a real situation . Solving rational expressions calculator, ti89 solve two equations simultaneously, how to factor cubed numbers. In this chapter we'll put our synthetic division skills to the test by using "p/q" to fully factor these high-power nightmares. The zero of a polynomial is an input value (usually an x-value) that returns a. From the graph, it looks like -1 is a good possibility, so we try that using synthetic division. Let's do your example first. (Enter your answers as a comma P(X) = 9x - 4x3 + x2 - x + 3 6. Now that our mid-semester are due next week I really need some help in topics like finding all rational zeros in a function online calculator and some other topics like inequalities, adding numerators and difference of squares. (Enter your answers as a comma-separated list. your own Pins on Pinterest Welcome to the rational zeros calculator! Plugging 5 into the equation results in (5)^2 - 6* (5) + 5 = 25-30+5=0, so 5 is another rational zero. I really need some urgent help in those topics, else I might perform really badly in my mid-semester . I remember that recently I too had to go through a similar time of anxiety . 90. These will give you all the rational roots of P(x). If a polynomial function has integer coefficients, then every rational zero will have the form where is a factor of the constant and is a factor of the leading coefficient. Guess what, I was down with fever last week, and had to miss a few lectures because of that. Your high school and college homework assignments are not your problem anymore. Negative and positive zones can then be found between and beyond each of the zeros and the excluded value: Positive when x is less than -2, Negative when x is between -2 and -1, Positive when x is between -1 and 0, Negative when x is between 0 and 5, and finally Positive when x is greater than 5. Polynomials & Rational Zeros The term "Polynomial" means "equation with crazy powers of x" like x 3, x 4 and x 5. Rational Inequalities Calculator is a free online tool that displays the expanded form and the solution for the given rational inequality. Using a graphing calculator, we could set the window accordingly and get the graph below. ISBN: 9781305071759. This is a more general case of the Integer (Integral) Root Theorem (when leading coefficient is 1 or − 1). In mathematics, a square root of a number x is a number y such that y² = x; in other words, a number y whose square (the result of multiplying the number by itself, or y ⋅ y) is x. Publisher: Brooks Cole. Ok, now I’ve heard quite a few good things about Algebrator, I think it’s definitely is worth a try. SOLUTION List the possible rational zeros. If you're one of the lucky few who get to use calculators in this chapter, the last video is for you! Square Root. 2) Factors of the constant term 2 is = ±1, ±2 In general, you can skip the multiplication sign, so 5 x … This is a software that helps you to solve algebra problems and at the same time you could learn from it because it displays a detailed procedure of answering the problem. In mathematics, a square root of a number x is a number y such that y² = x; in other words, a number y whose square (the result of multiplying the number by itself, or y ⋅ y) is x. In this chapter we'll put our synthetic division skills to the test by using "p/q" to fully factor these high-power nightmares. f(x)=3x^5-2x^4-15x^3+10x^2+12x-8 (a) Use the Rational Zero Theorem to list all possible rational zeros for f(x) (b) Use Descartes's Rule of Signs to determine the possible number of positive and negative real zeros for f(x) (c) Find all roots of f(x) algebraically We use cookies to enhance your browsing experience. Using the rational theorem calculator and finding the answers not sufficient, you can use our expert math help. The Rational Zero Theorem Precalculus: Mathematics for Calcu... 7th Edition. Using a graphing calculator, we could set the window accordingly and get the graph below. Only positive numbers make sense as dimensions for a cake, so we need not test any negative values. (If you don't get to use calculators, don't look. Success! These are the possible values for . I need some help, and I need it FAST! If you don’t know anything about this wonderful piece of program yet, let me give you an idea about this software. Our calculator allows you to check your solutions to calculus exercises. Complete problem 4 and 5 without graphing it first (non calculator part of quiz) 4. The factors of 8 are ± 1, ± 2, ± 4, ± 8 and the factors of 1 are ± 1. For Polynomials of degree less than or equal to 4, the exact value of any roots (zeros) of the polynomial are returned. For Polynomials of degree less than or equal to 4, the exact value of any roots (zeros) of the polynomial are returned. Please enter one to five zeros separated by space. Use the Rational Zero Theorem to find the rational zeros of $f\left(x\right)=2{x}^{3}+{x}^{2}-4x+1$. After this, it will decide which possible roots are actually the roots. 5) We have to use synthetic division to determine the values of p/q for which f(p/q) =0. f(s)= 4s 7– s3 – 20s2 + 12s – 9s6. Demonstrates how to use the Rational Roots Test to list possible fractional solutions. Polynomials & Rational Zeros The term "Polynomial" means "equation with crazy powers of x" like x 3, x 4 and x 5. Able to display the work process and the detailed explanation. [-/1 Points] DETAILS GHCOLALG12 4.5.040. Guess what, I was down with fever last week, and had to miss a few lectures because of that. Our calculator allows you to check your solutions to calculus exercises. [-/1 Points] DETAILS GHCOLALG12 4.5.040. Find every combination of . DoMyHomework123 is a team of top-class experts whose only goal is to give you the best assignment Solving rational expressions calculator, ti89 solve two equations simultaneously, how to factor cubed numbers. It states that if a polynomial function, having integer coefficients is written in descending order of the exponents, then, any possible rational zeros must be of the form ± p/ q. list of possible rational zeros can increase dramatically. The constant term is 8 and the leading coefficient is 1, so possible rational zero of Q = factor of 8 factor of 1. The rational zero theorem calculator will quickly recognize the zeros for you instead of going through the long manual process on your own. Forget about deadlines, with top 2% experts across the board. The following video examines how find the ACTUAL rational zeros of a polynomial function. In my case , my anxious hunt led me to a coach in my locality . Polynomials With No Rational Zeros Show that the polynomial does not have any rational zeros. Example: List all possible rational zeros of f(x) = x 3-2x 2-x+2 using rational zeros theorem. You can do a quick graph (especially if you have a graphing calculator), and . Try the Free Math Solver or Scroll down to Tutorials! This lesson demonstrates how to locate the zeros of a rational … The Integral Calculator supports definite and indefinite integrals (antiderivatives) as well as integrating functions with many variables. From the graph, it looks like -1 is a good possibility, so we try that using synthetic division. These are the possible roots of the polynomial function. James Stewart + 2 others. however, complex zeros (with imaginary parts) will not be found as x-intercepts, and must be found by other means . 3. Enter all answers including repetitions P(X) = x - 3+* - 5x + 15x2 + 4x - 12 But he was so occupied that he just did not have the time for me. 0 0. The polynomial can be up to fifth degree, so have five zeros at maximum. This online calculator finds the roots of given polynomial. Using the synthetic division to find zeros is better since you can write the polynomial in the factored form if you find a zero. Find the Roots/Zeros Using the Rational Roots Test. The Rational Zero Theorem tells us that the possible rational zeros are $$\pm 1,±3,±9,±13,±27,±39,±81,±117,±351,$$ and $$±1053$$. Look at this example: Find all the rational zeros of: f (x) = 2 x 3 + 3 x 2 – 8 x + 3. We do not encourage or endorse any activities that violate applicable law or university/college policies. As a matter of fact , I had the same problem just before I found something very helpful . real zeros (whether rational or irrational) can be found graphically as x-intercepts. Dec 14, 2016 - This Pin was discovered by Sarah Dutton. Here are the steps to find all the rational zeros of a polynomial: It is a calculator that helps you determine all the possible rational roots of the polynomial using the Rational Zeros Theorem. $rational\:roots\:3x^3-5x^2+5x-2$. Find all rational zeros of the polynomial function. You just need to follow the instructions given there. Quartic Equations. $rational\:roots\:2x^2+4x-6$. Have you encountered Algebrator? P ( x ) = x 50 − 5 x 25 + x 2 − 1. Since this polynomial expression has at most 2 rational zeroes, those zeros are 1 and 5. Lv 6. Learn how to use Rational Zero Test on Polynomial expression. The Rational Roots Test (also known as Rational Zeros Theorem) allows us to find all possible rational roots of a polynomial. The Rational Roots Test (also known as Rational Zeros Theorem) allows us to find all possible rational roots of a polynomial. Type a math problem. Buy Find arrow_forward. We can use the Rational Zeros Theorem to find all the rational zeros of a polynomial. Glencoe Accounting: Real-World Applications and Connections, First-Year Course aswers, mixed numbers and decimals, adding and subtracting money. Continue plugging each product in to find the rational zeros. algebra trigonometry statistics calculus matrices variables list. Using the Rational Zero Theorem Find all real zeros of ƒ(x) = 10x4º 3x3º29x2+5x +12. 1 decade ago. The calculator will show you the work and detailed explanation. With this tool, students can determine which possible roots form the actual rational root. 5) We have to use synthetic division to determine the values of p/q for which f(p/q) =0. Rational Zero Theorem. Able to display the work process and the detailed explanation. Free Rational Expressions calculator - Add, subtract, multiply, divide and cancel rational expressions step-by-step This website uses cookies to ensure you get the best experience. I was thinking on hiring some private tutor but then my pocket money meant that I couldn’t do so. The Rational Zero Theorem tells us that the possible rational zeros are $$\pm 1,±3,±9,±13,±27,±39,±81,±117,±351,$$ and $$±1053$$. The leading coefficient is 1 and the constant term is º12. 1 decade ago. Zeros Calculator. by the rational zero theorem. This follows since a polynomial of polynomial order with rational roots can be expressed as (2) where the roots are , , ..., and . Approximate solution Here are some examples of using the Factor Theorem Example Find all zeros of P x 6x3 29x2 20x 28. Get the free "Zeros Calculator" widget for your website, blog, Wordpress, Blogger, or iGoogle. Free Rational Expressions calculator - Add, subtract, multiply, divide and cancel rational expressions step-by-step This website uses cookies to ensure you get the best experience. Solution: 1) The equation is already arranged in descending order. Example: with the zeros -2 0 3 4 5, the simplest polynomial is x 5 -10x 4 +23x 3 +34x 2 -120x. Find all zeros of the polynomial function. I am a frequent user of Algebrator and it has really helped me understand math problems better by giving easy to understand steps for solving. Place the polynomial in descending order. ), with steps shown. Identify the number of solutions or zeros. These values can be tested by using direct substitution or by using synthetic division and finding the remainder. Precalculus: Mathematics for Calcu... 7th Edition. algebra trigonometry statistics calculus matrices variables list. * Using the Rational Root Theorem (Rational Zero Theorem), the calculator will determine potential roots which can then be tested against the synthetic calculator. Use the Rational Zero Theorem to list all possible rational zeros of the polynomial function. The calculator will show you the work and detailed explanation. The Rational Roots (or Rational Zeroes) Test is a handy way of obtaining a list of useful first guesses when you are trying to find the zeroes (roots) of a polynomial. Be reminded that it does not only show the answer but it helps you understand how to solve the problem that makes it very educational. The calculator will try to factor any polynomial (binomial, trinomial, quadratic, etc. We explain Finding the Zeros of a Rational Function with video tutorials and quizzes, using our Many Ways(TM) approach from multiple teachers.