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Chapter 7: Q 138 (page 849)

In the following exercises, identify the best method to use to factor each polynomial

(a)20x2+100(b)uv+6u+4v+24(c)y2-8y+15

Short Answer

Expert verified

The factorization of:

Part (a) 20x2+100=The best method is to factor the GCF of the expression.

Part (b) uv+6u+4v+24=The best method used is grouping to factor the given polynomial.

Part (c)y2-8y+15=Undoing the FOIL is the best way to factor in the polynomial.

Step by step solution

01

 Part (a) Step 1. Given information

Given expression is20x2+100

02

Part (a) Step 2. Find the best method to use to factor the polynomial.

Factorization: 20x2+100=20(x5+5)

The best method is to factor the GCF of the expression.

03

Part (b) Step 1. Given information

Given expression isuv+6v+4v+24

04

Part (b) Step 2  Find the best method to use to factor the polynomial. 

Factorization: uv+6u+4v+24=u(v+6)+4(v+6)=(v+6)(u+4)

The best method used is grouping to factor the given polynomial.

05

 Part (c) Step 1. Given information

Given expression isy2-8y+15

06

Part (c) Step 2. Find the best method to use to factor the polynomial.

Factorization: y2-8y+15=y2-3y-5y+15=y(y-3)-5(y-3)=(y-3)(y-5)

Undoing the FOIL is the best way to factor in the polynomial.

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