How to Use the Rational Roots Theorem: Process & Examples


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question 1 of 3

Which of the following is a possible solution to this polynomial?

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1. Which of the following is a solution to this polynomial?

2. The numerator of our possible solutions from the rational roots theorem comes from which term in our polynomial?

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About This Quiz & Worksheet

This quiz and worksheet combo will help you test your understanding of the rational roots theorem, which can be used to generate lists of possible solutions to a given polynomial function. The questions on the quiz will test you on your ability to identify possible solutions to polynomial functions and the characteristics of the rational roots theorem.

Quiz & Worksheet Goals

In these assessments, you'll be tested on:

  • Using the rational roots theorem to find possible solutions to functions
  • The characteristics of the rational roots theorem, including the role of the numerator and denominator and the actual definition of the theorem

Skills Practiced

This quiz and worksheet will test your skills in the following areas:

  • Reading comprehension - ensure that you draw the most important information on using the rational roots theorem from the related lesson
  • Problem solving - use the rational roots theorem to answer practice problems
  • Defining key concepts - ensure that you can accurately define main phrases, such as constant term or leading coefficient
  • Information recall - access the knowledge you've gained regarding the rational roots theorem and use that understanding to answer questions about possible solutions to equations

Additional Learning

The lesson, How to Use the Rational Roots Theorem: Process & Examples, will help you gain more information about the topic. The lesson has the following objectives:

  • Define the rational roots theorem as a way to generate a list of possible solutions to a polynomial function
  • Differentiate between the role of the numerators and denominators in the list of solutions that is generated by the application of the rational roots theorem
  • Understand how to find the correct solution by plugging in possible solutions and checking your equation