How do you factor 6x^2-10x+246x2−10x+24?

1 Answer
Nghi N.
May 16, 2016

2(3x^2 - 5x + 12)2(3x2−5x+12)

Explanation:

f(x) = 2y = 2(3x^2 - 5x + 12)f(x)=2y=2(3x2−5x+12)
Factor y, the trinomial in parentheses, by the new AC Method (Socratic Search)
y = 3x^2 - 5x + 12y=3x2−5x+12
D = b^2 - 4ac = 25 - 144 = -119.D=b2−4ac=25−144=−119.
Since D < 0, this trinomial y can't be factored.
f(x) = 2y = 2(3x^2 - 5x + 12)f(x)=2y=2(3x2−5x+12)

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