Factor out the greatest common monomial factor: 9m^3+M^2

Question

Factor out the greatest common monomial factor!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!

Answer 1

Hello, thank you for taking the time to post your question!

The greatest common monomial factor (GCMF) means that you want to find the largest number that divides into both terms of the expression.

In this case that would be m^2, making the factored expression

m^2(9m + 1)

I hope that helps you get moving in a better direction on this type of question! Feel free to reach out if you have any additional questions beyond that :)

Answer 2

If you are given 9m^3+m^2, we look at both terms (9m^3) and (m^2). Notice that both of them have an "m" so we start by factoring that out. Next we look at the exponents on both of the terms. We take out the lowest exponent. In this case the number is 2. This means that we can factor out m^2.

After we factor out the m^2, we must look at the two terms and divide both of them by m^2. When dividing exponents we just subtract the exponent number. This means that we have 9m^3 /m^2 =9 m^(3-2)=9m^1=9m. Then m^2/m^2=1 . We put these results into our answer and get m^2(9m+1) as our answer.