# Chapter R - Elementary Algebra Review - R.4 Polynomials - R.4 Exercise Set - Page 961: 56

$2x^3-5x^2+x+3$

#### Work Step by Step

Using the Distributive Property, the given expression, $(2x-3)(x^2-x-1) ,$ is equivalent to \begin{array}{l}\require{cancel} 2x(x^2)+2x(-x)+2x(-1)-3(x^2)-3(-x)-3(-1) \\\\= 2x^3-2x^2-2x-3x^2+3x+3 \\\\= 2x^3+(-2x^2-3x^2)+(-2x+3x)+3 \\\\= 2x^3-5x^2+x+3 .\end{array}

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