# Chapter 5 - Exponents and Polynomials - 5.3 - Multiplying Polynomials - Problem Set 5.3: 26

$x^{3}$ + 3$x^{2}$ - 17x - 35

#### Work Step by Step

(x + 5)($x^{2}$ - 2x - 7) = Use the distributive property. x($x^{2}$) + x(-2x) + x(-7) + 5($x^{2}$) + 5(-2x) + 5(-7) = $x^{3}$ - 2$x^{2}$ - 7x + 5$x^{2}$ - 10x - 35 = Simplify. $x^{3}$ + 3$x^{2}$ - 17x - 35

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