Elementary Algebra

Published by Cengage Learning
ISBN 10: 1285194055
ISBN 13: 978-1-28519-405-9

Chapter 5 - Exponents and Polynomials - 5.3 - Multiplying Polynomials - Problem Set 5.3: 34

Answer

$x^{4}$ + 2$x^{3}$ - 13$x^{2}$ + 26x - 8

Work Step by Step

($x^{2}$ - 3x + 4)($x^{2}$ + 5x - 2) = Use the distributive property. $x^{2}$($x^{2}$) +$x^{2}$(5x) +$x^{2}$(-2) -3x($x^{2}$) -3x(5x) -3x(-2) +4($x^{2}$) +4(5x) +4(-2) = $x^{4}$ + 5$x^{3}$ - 2$x^{2}$ - 3$x^{3}$ - 15$x^{2}$ + 6x + 4$x^{2}$ + 20x - 8 = Simplify. $x^{4}$ + 2$x^{3}$ - 13$x^{2}$ + 26x - 8
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