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: 35

Answer

$x^{4}$ - 3$x^{3}$ - 34$x^{2}$ + 33x + 63

Work Step by Step

($x^{2}$ - 6x - 7)($x^{2}$ + 3x - 9) = Use the distributive property. $x^{2}$($x^{2}$) +$x^{2}$(3x) +$x^{2}$(-9) -6x($x^{2}$) -6x(3x) -6x(-9) -7($x^{2}$) -7(3x) -7(-9) = $x^{4}$ + 3$x^{3}$ - 9$x^{2}$ - 6$x^{3}$ - 18$x^{2}$ + 54x - 7$x^{2}$ - 21x + 63 = Simplify. $x^{4}$ - 3$x^{3}$ - 34$x^{2}$ + 33x + 63
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