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Chapter 6: Q 50E (page 572)

Factor by Grouping
In the following exercises, factor by grouping.

4x2鈭�36x鈭�3x+27.

Short Answer

Expert verified

The obtained factors for the expression 4x2鈭�36x鈭�3x+27 by using the grouping method are, x-94x-3.

Step by step solution

01

Given expression is,

4x2鈭�36x鈭�3x+27.

The objective is, we need to find the factors for this expression by using the grouping method.

02

First group the terms with the common factors.

4x2鈭�36x鈭�3x+27=4x2鈭�36x+鈭�3x+27

Now factor out the common factors.

4x2鈭�36x鈭�3x+27=4xx鈭�9-3x-9=4x-3x-9

The obtained factors are,x-94x-3.

03

Step 3 let us check the answer by multiplying the factors.

x-94x-3=4x2-3x-36x+27=4x2-36x-3x+27

which is true.

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