# Chapter 8 - Polynomials and Factoring - 8-3 Multiplying Binomials - Got It? - Page 501: 5

$a.\quad 2x^{3}-9x^{2}+10x-3$ $b.\quad$Distribute the trinomial to each term of the binomial. Then, distribute each term and combine like terms.

#### Work Step by Step

a. $\begin{array}{lllllllll} & 2x^{2} & -3x & +1 & & & & & \\ & & x & -3 & & & & & \\ -- & -- & -- & -- & & & & & \\ & -6x^{2} & +9x & -3 & \text{multiply by }-3 & & & & \\ 2x^{3} & -3x^{2} & +x & & \text{multiply by } x & & & & \\ -- & -- & -- & -- & \text{add like terms } & & & & \\ 2x^{3} & -9x^{2} & +10x & -3 & & & & & \end{array}$ Answer: $2x^{3}-9x^{2}+10x-3$ b. Distribute the trinomial to each term of the binomial. Then, distribute each term and combine like terms.

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