Intermediate Algebra for College Students (7th Edition)

Published by Pearson
ISBN 10: 0-13417-894-7
ISBN 13: 978-0-13417-894-3

Chapter 5 - Mid-Chapter Check Point - Page 364: 5

Answer

$2x^4-x^3-8x^2+11x-4$.

Work Step by Step

The given expression is $=(x^2-2x+1)(2x^2+3x-4)$ Multiply the second bracket by each term of the first bracket. $=x^2(2x^2+3x-4)-2x(2x^2+3x-4)+1(2x^2+3x-4)$ Clear the parentheses. $=2x^4+3x^3-4x^2-4x^3-6x^2+8x+2x^2+3x-4$ Add like terms. $=2x^4-x^3-8x^2+11x-4$.
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