# How do you factor 3t^2+14t-5?

Jun 11, 2015

Factor f(t) = 3t^2 + 14t - 5

#### Explanation:

I use the new AC Method (Google, Yahoo Search)
Convert f(t) to $f ' \left(t\right) = {t}^{2} + 14 t - 15.$
Factor pair of (a.c = -15)--> (-1, 15). This sum = 14 = b.
p' = -1 and q' = 15
$p = - \frac{1}{3}$ and $q = \frac{15}{3} = 5$

Factored form f(t) = 3(t - 1/3)(t + 5) =$\left(3 t - 1\right) \left(t + 5\right)$