Question

Find the factors of 3m2 +9m +6

Answer 1

Answer:

m + 2 and m + 1 are the factors

Step-by-step explanation:

3m^2 + 9m + 6 = 0

divide complete equation by 3.

m^2 + 3m + 2 = 0

m^2 + 2m + m +2 = 0

m(m + 2) + 1(m + 2) = 0

(m + 2)(m + 1) = 0

m + 2 and m + 1 are the factors

Answer 2

$\rm{3m^2+9m+6}$

$\rm{=3m^2+3\cdot \:3m+3\cdot \:2}$

Factor out Common Term 3

$\rm{=3\left[m^2+3m+2\right]}$

Break The Expression into Groups

$\rm{=3\left[m^2+m+2m+2\right]}$

$\rm{=3\left[(m^2+m)+(2m+2)\right]}$

$\rm{=3\left[m\left(m+1\right)+2\left(m+1\right)\right]}$

Factor out Common Term m + 1

$\rm{=3\left(m+1\right)\left(m+2\right)}$