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An Introduction to Polynomials

Introduction

Two students studying in front of a chalkboard.

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Lesson Goals

  • Review the concept of a variable.
  • Examine polynomials and classify an expression as monomial, binomial, or trinomial based on the number of terms.
  • State the degree of a polynomial.

Try This

Which of the expressions shown below are polynomials? What is the degree of each polynomial?

  1. \(12x^4-10x^3+4x^2-5x+1\)
  2. \(7r^2-4r+8r^{-2}+7\)
  3.  \(11m^2+\pi m\)
  4.  \(8v\)
  5.  \(7h^4+5h^{0.25}-9\)