Question

How do you factor `3x^2 + 7x + 2`?

Answer 1

(3x + 1)(x + 2)

Explanation:

Use the new AC Method to factor trinomials (Socratic Search)
`y = 3x^2 + 7x + 2 =` 3(x = p)(x + q)
Converted trinomial `y' = x^2 + 7x + 6 =`(x + p')(x + q')
Factor pair of (6) --> (1, 6). This sum is 7 = b. Then p' = 1 and q' = 6. Back to y, `p = 1/3` and `q = 6/3 = 2.`
`y = 3(x + 1/3)(x + 2) = (3x + 1)(x + 2)`