SOLUTION: Factor: 6x2nd power + x -2

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Question 142883: Factor:
6x2nd power + x -2
Answer by Earlsdon(6294) About Me  (Show Source):
You can put this solution on YOUR website!
Factor:
6x%5E2%2Bx-2
Try this: Multiply the coefficient of x^2 (6) by the constant term (-2) to get -12.
Now what are the factors of -12 that add up to coefficient of x (1)?
How about (4)*(-3) = -12 and (4)+(-3) = 1.
Next, rewrite the equation as:
6x%5E2%2B4x-3x+-2 Factor this by grouping.
%286x%5E2%2B4x%29-%283x%2B2%29 Factor.
2x%283x%2B2%29-%283x%2B2%29 Factor out the (3x+2)
%283x%2B2%29%282x-1%29 and there you have it!