SOLUTION: if one factor of six x to the 2nd power + 5x - 6 is 3x - 2 the factor is? 1 3x+2 2 6x+3 3 2x+3 4 2x-3

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Question 252385: if one factor of six x to the 2nd power + 5x - 6 is 3x - 2 the factor is?
1 3x+2
2 6x+3
3 2x+3
4 2x-3
Answer by richwmiller(17219) About Me  (Show Source):
You can put this solution on YOUR website!
6x^2+5x-6
(3x-2)(2x+3)
the first term needs to be 6x^2
and we start with 3x
so the other first term needs to be 2x
we have a choice of 2x+3 and 2x-3
the final term is negative so we need one positive and one negative term at the end
we started with -2 so we need +3
so it must be 2x+3
checking the middle term we see that using foil we get
9x-4x which equals 5x
so the other factor is 2x+3