# Chapter 5 - Section 5.3 - Special Products - Exercise Set: 21

$x^3+5x^2+3x+15$

#### Work Step by Step

Using $(a+b)(c+d)=ab+ad+bc+bd$ or the FOIL Method, the product of the given expression, $(x+5)(x^2+3) ,$ is \begin{array}{l}\require{cancel} x(x^2)+x(3)+5(x^2)+5(3) \\\\= x^3+3x+5x^2+15 \\\\= x^3+5x^2+3x+15 .\end{array}

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