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Chapter 7: Q 203. (page 850)

Factorize the following polynomial :6r2+30r+36

Short Answer

Expert verified

The factors of the given polynomial is :6(r+2)(r+3)

Step by step solution

01

Step 1. Given information

Given expression is6r2+30r+36

02

Step 2. Factorization

6r2+30r+36=6(r2+5r+6)=6(r2+3r+2r+6)=6{r(r+3)+2(r+3)}=6(r+3)(r+2)

03

Step 3. Check

Now,

6(r+3)(r+2)=6(r2+3r+2r+6)=6(r2+5r+6)=6r2+30r+36

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