How Do You Find All the Rational Zeros of a Polynomial Function?

How Do You Find All the Rational Zeros of a Polynomial Function?

Note:

Polynomial functions with integer coefficients may have rational roots. The Rational Root Theorem lets you determine the possible candidates quickly and easily! Watch the video to learn more.

Keywords:

  • problem
  • zeros
  • roots
  • polynomial function
  • rational zeros
  • synthetic division

Background Tutorials

  • communicate mathematical ideas, reasoning, and their implications using multiple representations, including symbols, diagrams, graphs, and language as appropriate

      • What's a Rational Number?What's a Rational Number?

      What's a Rational Number?

      There are lots of different kind of numbers that you should know about, and that includes rational numbers. Check out the tutorial!

  • use a problem-solving model that incorporates analyzing given information, formulating a plan or strategy, determining a solution, justifying the solution, and evaluating the problem-solving process and the reasonableness of the solution

      • What's an Irrational Number?What's an Irrational Number?

      What's an Irrational Number?

      Is an irrational number just a way to describe a number that's lost its mind? Not really. :) An irrational number is simply a number that cannot be written as a fraction. Check out the definition, learn an important property of these special numbers, and take a look at some examples of irrational numbers.

  • Evaluate functions, expressed in function notation, given one or more elements in their domains

  • Solve quadratic equations having real solutions by factoring, taking square roots, completing the square, and applying the quadratic formula

      • How Do You Solve a Quadratic Equation by Factoring?How Do You Solve a Quadratic Equation by Factoring?

      How Do You Solve a Quadratic Equation by Factoring?

      One of the many ways you can solve a quadratic equation is by factoring it. In this tutorial, you'll see how to factor a quadratic equation using the guess and check method of factoring. Then, use the zero product property to find the solution!

  • Graph the functions f(x)=√x, f(x)=1/x, f(x)=x3, f(x)= 3√x, f(x)=bx, f(x)=|x|, and f(x)=logb (x) where b is 2, 10, and e, and, when applicable, analyze the key attributes such as domain, range, intercepts, symmetries, asymptotic behavior, and maximum and minimum given an interval

      • How Do You Find the Degree of a Polynomial?How Do You Find the Degree of a Polynomial?

      How Do You Find the Degree of a Polynomial?

      Terms and polynomials can't run a fever, but they do have degrees! This tutorial will tell you all about the degree of a term and of a polynomial and will show you how to find it!

  • Add, subtract, and multiply polynomials

      • What is the Factor Theorem?What is the Factor Theorem?

      What is the Factor Theorem?

      Trying to figure out if a given binomial is a factor of a certain polynomial? This tutorial can help you find the answer! Follow along to learn about the Factor Theorem and how it can be used to find the factors and zeros of a polynomial.