## Algebra 1

Given the polynomial $9q^{2}$ + 12q + 4 *** We break of the middle term into two factors that add to give +12 and multiply to give +36. The two numbers are +6 and +6. $9q^{2}$ + 6q + 6q + 4 We take the GCD of the first two and the GCD of the last two terms. 3q(3q+2) +2(3q+2) We take (3q+2) and factor it out which gives us. (3q+2)(3q+2)