Question 94592: university of phoenix elementary and intermediate algebra factor each trinominal by using the ac method 15x2 - 7x -2 Answer by tutorcecilia(2152) (Show Source):
You can put this solution on YOUR website! 15x2 - 7x -2
[split the middle or "c" term into two terms]
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Technique for finding the middle or "c" term:
Factor 15x^2: (3x)(5x)
Factor 2: (-2)(1)
Look for combinations amongst the factors that will add up to (-7)
The combination will be (5x)(-2)+(3x)(1)= -10x+3x=-7x
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Re-write the expression:
15x^2-10x+3x-2
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15x^2-10x+3x-2 [factoring using the grouping method]
15x^2+3x-10x-2 [obtained through trial-and-error]
3x(5x+1)-2x(5x+1)
(3x-2x)(5x+1)
