Question

How do you factor the expression `6x^2+7x+2`?

Answer 1

y = (2x + 1)(3x + 2)

Explanation:

Use the new AC Method to factor trinomial. (Socratic Search)
`y = 6x^2 + 7x + 2 =`6(x + p)(x + q)
Converted trinomial: `y' = x^2 + 7x + 12`
Factor pairs of 12 --> (3, 4). This sum is 7 = b.
`p= 3/6 = 1/2` and `q = 4/6 = 2/3.`
Factored form: `y = 6(x + 1/2)(x + 2/3) = (2x + 1)(3x + 2)`