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Chapter 7: Q 198. (page 850)

Factorize the following polynomial :5r2+25r+30

Short Answer

Expert verified

The factors of the given polynomial is5(r+2)(r+3)

Step by step solution

01

Step 1. Given information

Given expression is5r2+25r+30

02

Step 2. Find 'ac'

Here, 'ac' is5脳30=150

03

Step 3. Factorization

5r2+25r+30=5r2+10r+15r+30=5r(r+2)+15(r+2)=(r+2)(5r+15)=5(r+2)(r+3)

04

Step 4. Check

Now,

5(r+2)(r+3)=5(r2+5r+6)=5r2+25r+30

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