Algebra 2 Common Core

Published by Prentice Hall
ISBN 10: 0133186024
ISBN 13: 978-0-13318-602-4

Chapter 5 - Polynomials and Polynomial Functions - 5-1 Polynomial Functions - Practice and Problem-Solving Exercises - Page 286: 44


Standard form: $2a^3-5a^2-2a+5$ Degree = 3 Number of terms = 4 Thus, the polynomial is a cubic polynomial.

Work Step by Step

Multiply the binomials by distributing each term of the first factor to the other factor: $2a(a^2-1)-5(a^2-1) \\=2a^3-2a-5a^2+5 \\=2a^3-5a^2-2a+5$. The polynomial has degree 3 and has four terms. Thus, the polynomial is a cubic polynomial.
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