SOLUTION: " How do I factor this trinomoial using the ac method?" please break it down and explain thank you. 15x^2-7x-2

Algebra ->  Exponential-and-logarithmic-functions -> SOLUTION: " How do I factor this trinomoial using the ac method?" please break it down and explain thank you. 15x^2-7x-2       Log On


   

Question 779803: " How do I factor this trinomoial using the ac method?" please break it down and explain thank you.
15x^2-7x-2
Answer by stanbon(75887) About Me  (Show Source):
You can put this solution on YOUR website!
factor this trinomoial using the ac method?" please break it down and explain thank you.
15x^2-7x-2
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AC = 15*-2 = -30
B = -7
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Find 2 factors of -30 whose sum = -7
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The factors are -10 and 3
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Rewrite the problem substituting -10x+3x for -7x:::
15x^2 -10x+3x -2
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Factor the 1st two and the last two terms seperately::
5x(3x-2)+ (3x-2)
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Factor again:
(3x-2)(5x+1)
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Cheers,
Stan H.
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