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Chapter 7: Q. 375 (page 898)

Factor by grouping

m3+m2+m+1

Short Answer

Expert verified

Factor is: m3+m2+m+1=(m+1)(m2+1)

Step by step solution

01

Step 1. Given information

given expression m3+m2+m+1

02

Step 2. Grouping given expression,  

m3+m2+m+1=(m3+m2)(m+1)

03

Step 3. Factor

(m3+m2)+(m+1)=m2(m+1)+1(m+1)=(m+1)(m2+1)

Therefore, the factor of the given expression is(m+1)(m2+1)

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