# Chapter 4 - Polynomials - 4.6 Special Products - 4.6 Exercise Set - Page 276: 5

$x^3+3x^2+2x+6$

#### Work Step by Step

Using $(a+b)(c+d)=ac+ad+bc+bd$ or the product of $2$ binomials, the given expression, $(x^2+2)(x+3)$, is equivalent to \begin{array}{l}\require{cancel} x^2(x)+x^2(3)+2(x)+2(3) \\\\= x^3+3x^2+2x+6 .\end{array}

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