How do you factor #6r^2 + 13r + 6 #?

1 Answer
Sep 16, 2015

Answer:

Factor y = 6x^2 + 13x + 6

Explanation:

I use the new AC Method to factor trinomials (Socratic Search)
Convert trinomial y' = x^2 + 13x + 36 = (x + p')(x + q')
p' anf q' have same sign. Factor pairs of 36 --> (2, 18)(4, 9). This last sum is 4 + 9 = 13 = b. Then p' = 4 and q' = 13. Therefor, p = 4/6 = 2/3 and q = 9/6 = 3/2
Factored form; y = 6(x + 2/3)(x + 3/2) = (3x + 2)(2x + 3)