What Are Polynomial Identities?

Instructions:

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question 1 of 3

A polynomial identity is an equation that is both _____ and _____.

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1. Polynomial identities tell us that the square the sum of a and b, (a + b)², can be rewritten as _____.

2. The sum of cubes identity is very powerful, although a little hard to remember. It tells us that a³ + b³ = _____.

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About This Quiz & Worksheet

This quiz and worksheet combo is a simple way to get an idea of how familiar you are with polynomial identities. You'll be tested through sample problems and relevant definitions.

Quiz & Worksheet Goals

This quiz/worksheet is made up of questions involving:

  • The mathematic traits of polynomial identities
  • Mathematic implications of polynomial identities
  • The sum of cubes identity
  • Difference between squares identity
  • The quadratic formula

Skills Practiced

  • Problem solving - use acquired knowledge to navigate mathematic questions involving polynomial identities
  • Defining key concepts - ensure that you can identify the mathematic characteristics of polynomial identities
  • Information recall - access the knowledge you've gained regarding the quadratic formula

Additional Learning

To learn more about these mathematic figures, you can check out the corresponding lesson called What Are Polynomial Identities?. This lesson is made up of the following objectives:

  • Distinguish polynomial equations from standard equations
  • Familiarize yourself with valuable polynomial identities and explore the ways they can help
  • Understand what constitutes a similar identity
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