# How do you factor #5t^2+37t+42=0#?

##### 1 Answer

May 9, 2016

(5t + 7)(t + 6)

#### Explanation:

Use the new AC Method to factor trinomials (Socratic Search)

Converted trinomial:

p' and q' have same sign because ac > 0.

Factor pairs of (ac = 210) -->...(5, 42)(6, 35)(7, 30). This sum is (37 = b). Then, p' = 7 and q' = 30.

Back to original trinomial y -->

Factored form: y = 5(t + 7/5)(x + 6) = (5t + 7)(t + 6).