Descartes's Rule of Signs: Definition & Example


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question 1 of 3

How many positive real roots do we expect from the polynomial x^3 -2x^2 - 5x + 6?

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1. How many negative real roots do we expect from the polynomial x^3 -2x^2 - 5x + 6?

2. How many positive real roots do we expect from the polynomial x^3 + 2x^2 - x - 2?

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About This Quiz & Worksheet

You can make sure you understand Descartes's rule of signs and its usage if you work on this printable worksheet and interactive quiz. Practice questions will ask you to find the number of negative and positive real roots in polynomial equations and to explain pieces of the rule.

Quiz & Worksheet Goals

This quiz will ask you about:

  • Expectation of positive real roots
  • Expectation of negative real roots
  • The use of 'multiples of 2' in Descartes's rule of signs

Skills Practiced

These guides will exercise the following skills:

  • Problem solving - use acquired knowledge to solve for the number of expected real roots in practice problems
  • Information recall - access the knowledge you've gained regarding the reasons behind elements of Descartes's rule of signs
  • Reading comprehension - ensure that you draw the most important information from the related lesson on this math topic
  • Knowledge application - use your knowledge to answer questions about polynomials and their roots

Additional Learning

Be sure to check out the related lesson on this topic, called Descartes's Rule of Signs: Definition & Example. Objectives of this lesson will include:

  • Relate Descartes's rule of signs to real life situations through a narrative example
  • Define roots and understand their importance in mathematics
  • Differentiate between positive and negative real roots
  • Explain how to apply Descartes's rule of signs