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Chapter 7: Q. 477 (page 901)

In the following exercises, factors completely:

8m2+22m+5.

Short Answer

Expert verified

The factors for the expression is,(4m+1)(2m+5).

Step by step solution

01

Step 1. Given Information.

The expression is,

8m2+22m+5.

02

Step 2. Factor completely.

Splitting the middle term such that the sum of the terms is 22and the product of the terms is 40,

8m2+22m+5=8m2+2m+20m+5

=(8m2+2m)+(20m+5)=2m(4m+1)+5(4m+1)=(4m+1)(2m+5)

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