Answer
5(g+1)(g+2)
Work Step by Step
Given the polynomial
$5g^{2}$ + 15g + 10
We see that the terms have a common factor of 5 so we factor out a 5.
5($g^{2}$ + 3g + 2)
*** We break of the middle term into two factors that add to give +3 and multiply to give +2. The two numbers are +2 and +1.
5($g^{2}$ + g + 2g + 2)
We take the GCD of the first two and the GCD of the last two terms.
5(g(g+1) +2(g +1))
We take (g +1) and factor it out which gives us.
5(g+1)(g+2)
