Answer
(2x+1)(x+6)
Work Step by Step
Given the polynomial
$2x^{2}$ + 13x + 6
*** We break of the middle term into two factors that add to give +13 and multiply to give +12. The two numbers are +12 and +1.
$2x^{2}$ + 1x + 12x + 6
We take the GCD of the first two and the GCD of the last two terms.
x(2x+1) + 6(2x+1)
We take (2x+1) and factor it out which gives us.
(2x+1)(x+6)
