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Chapter 7: Q 185 (page 850)

In the following exercises, factor

16s2+40s+24

Short Answer

Expert verified

The factorization of the given expression is8(2s+3)(s+1).

Step by step solution

01

Step 1. Given information

Given expression is16s2+40s+24.

02

Step 2. Factorizing by 'ac' method.

a脳c=2脳3=6

Factorization:

16s2+40s+24=8(2s2+5s+3)=8(2s2+3s+2s+3)=8(s(2s+3)+1(2s+3)=8(2s+3)(s+1)
03

Step 3. Check

8(2s+3)(s+1)=8(2s2+3s+2s+3)=8(2s2+5s+3)=16s2+40s+24

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