How do you factor y= 6x^2 + 20x + 6 ?

1 Answer
Nghi N.
Feb 28, 2016

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

Explanation:

Use the new AC Method to factor trinomial. (Socratic Search)
y = 6x^2 + 20x + 6.
Converted trinomial: x^2 + 20x + 36 = (x + p')(x + q').
Factor pairs of 36 --> (2, 18) This sum is 20 = b. Then p' = 2 and q' = 18
Back to original trinomial: p = 2/6 = 1/3 and q = 18/6 = 3.
Factored form: y = 6(x + 1/3)(x + 3) = 2(3x + 1)(x + 3)

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