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

1 Answer
Nghi N. ยท Nghi N
Mar 25, 2016

(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)

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