## Algebra 1

Published by Prentice Hall

# Chapter 8 - Polynomials and Factoring - 8-3 Multiplying Binomials - Practice and Problem-Solving Exercises - Page 490: 42

#### Answer

In applying the FOIL method, the inner product was missed. $3x^2-2x-8$

#### Work Step by Step

$(x-2)(3x+4)\longrightarrow$ use the FOIL method to multiply the binomials $x(3x)+x(4)-2(3x)-2(4)\longrightarrow$ multiply $3x^2+4x-6x-8\longrightarrow$ combine like terms $3x^2-2x-8$

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