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Chapter 6: Q. 148E (page 590)

In the following exercises, factor each expression using any method18m2+15m+3

Short Answer

Expert verified

The factors are32m+13m+1

Step by step solution

01

Step 1. Given Information

The trinomial is18m2+15m+3

Find factors using 'ac' method.

02

Step 2. Find GCF 

Find GCF and factor it

GCF is 3

So,36m2+5m+1

03

Step 3. Find 'ac' 

Compare the trinomial inside the parenthesis with ax2+bx+c

So, a=6,b=5,c=1

So, ac=6

Find two number such as their product is 6 and sum is 5

So numbers are 2,3.

04

Step 4. Split the middle and factor trinomial by grouping 

Split the middle term

36m2+3m+2m+1

Factor it

332m+1+12m+132m+13m+1

05

Step 5. Check

Multiply the factors 32m+13m+1

36m2+2m+3m+136m2+5m+118m2+15m+3

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