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Chapter 6: Q. 661 (page 802)

Multiply a Trinomial by a Binomial In the following exercises, multiply using

(a) the Distributive Property

(b) the Vertical Method

(3x-4)6x2+x-10

Short Answer

Expert verified

Part (a) By distribution method we get 18x3-21x2-34x+40

Part (b) By vertical method we get18x3-21x2-34x+40

Step by step solution

01

Step 1. Given information

An expression is given as(3x-4)6x2+x-10

02

Part (a) Step 1. Distribution property

Distribution property is (a+b)(c+d+e)=a(c+d+e)+b(c+d+e)

Apply it as,

(3x-4)6x2+x-10=3x6x2+x-10-46x2+x-10=18x3+3x2-30x-24x2-4x+40=18x3-21x2-34x+40

03

Part (b) Step 1. vertical method 

Apply vertical method,

6x2+x-10脳(3x-4)18x3+3x2-30x-24x2-4x+40脳18x3-21x2-34x+40

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