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

1 Answer
Nghi N.
Feb 27, 2016

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)

Related questions
See all questions in Factorization of Quadratic Expressions
Impact of this question
1517 views around the world
You can reuse this answer
Creative Commons License