Question

How do you factor the trinomial `6x^2 + 37x + 6`?

Answer 1

(6x + 1)(x + 6)

Explanation:

I use the new AC Method (Socratic Search).
y = 6x^2 + 37x + 6
Converted y' = x^2 + 37x + 36.
Factor pairs of 36 --> (1, 36). This sum is 37 = b. Then p' = 1 and q' = 36. Therefor, p = 1/6 and q = 36/6 = 6.
Factored form:
y = 6(x + 1/6)(x + 6) = (6x + 1)(x + 6)