# How do you factor 2y^2+9y+7 ?

Aug 5, 2015

Factor $2 {y}^{2} + 9 y + 7$
Since a - b + c = 0, use the Shortcut --> 2 real roots: - 1 and $- \frac{c}{a} = - \frac{7}{2}$
Factored form:$y = 2 \left(x + 1\right) \left(x + \frac{7}{2}\right) = \left(x + 1\right) \left(2 x + 7\right)$