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Chapter 11: Q 48E (page 1069)

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

r2鈭�3r鈭�r+3.

Short Answer

Expert verified

The obtained factors for the given expression r2鈭�3r鈭�r+3 by using the grouping method are,r-3r-1.

Step by step solution

01

Given expression is,

r2鈭�3r鈭�r+3.

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

02

First group the terms with the common factors.

r2鈭�3r鈭�r+3=(r2鈭�3r)+(鈭�r+3)

Now factor out the common factors.

r2鈭�3r鈭�r+3=rr-3-1r-3=r-3r-1

The obtained factors are,r-3r-1.

03

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

r-3r-1=r2-r-3r+3=r2-3r-r+3

which is true.

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