Elementary Algebra

Published by Cengage Learning

Chapter 5 - Exponents and Polynomials - 5.3 - Multiplying Polynomials - Problem Set 5.3 - Page 207: 24

Answer

$x^{3}$ + 8$x^{2}$ + 14x + 4

Work Step by Step

(x + 2)($x^{2}$ + 6x + 2) = Use the distributive property to obtain: x($x^{2}$) + x(6x) + x(2) + 2($x^{2}$) + 2(6x) + 2(2) = $x^{3}$ + 6$x^{2}$ + 2x + 2$x^{2}$ + 12x + 4 = Simplify. $x^{3}$ + 8$x^{2}$ + 14x + 4

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