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 - Section 5.2 - Multiplication of Polynomials - Exercise Set - Page 337: 29

Answer

$x^4+5x^3+x^2-11x+4$.

Work Step by Step

The given expression is $=(x^2+2x-1)(x^2+3x-4)$ Multiply the right side trinomial by each term of the left side trinomial. $=x^2(x^2+3x-4)+2x(x^2+3x-4)-1(x^2+3x-4)$ Clear the parentheses. $=x^4+3x^3-4x^2+2x^3+6x^2-8x-x^2-3x+4$ Add like terms. $=x^4+5x^3+x^2-11x+4$.
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