Intermediate Algebra (6th Edition)

Published by Pearson
ISBN 10: 0321785045
ISBN 13: 978-0-32178-504-6

Chapter 5 - Section 5.4 - Multiplying Polynomials - Vocabulary, Readiness & Video Check: 4

Answer

a., 3

Work Step by Step

Recall that the degree of a polynomial is the largest degree of all its terms. For the product of $(3x-1)(4x^{2}-2x+1)$, we can find the term with the largest degree by multiplying the term from each individual polynomial that has the largest degree within that polynomial. For example, $3x$ is the term from the first polynomial with the highest degree and $4x^{2}$ is the term from the second polynomial with the largest degree. $3x\times 4x^{2}=12x^{1+2}=12x^{3}$, so the product of $(3x-1)(4x^{2}-2x+1)$ will be a polynomial of degree 3.
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