SOLUTION: I'm trying to factor this polynomial using the ac method: 6x^2-35x-5 a x c = -30 (factored 2 x 3 x 5) b=-35 b should be the sum of 2 numbers whose product is ac or -30 in t

Question 730950: I'm trying to factor this polynomial using the ac method:
6x^2-35x-5
a x c = -30 (factored 2 x 3 x 5)
b=-35
b should be the sum of 2 numbers whose product is ac or -30 in this case.
I can't figure this out.
Thanks for your help.
Answer by stanbon(75887) (Show Source): You can put this solution on YOUR website!
I'm trying to factor this polynomial using the ac method:
6x^2-35x-5
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Comment: There are no 2 numbers whose product is -30 and whose sum is -35.
So you cannot use the ac method.
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Use the Quadratic formula:
x = [35 +- sqrt(35^2 - 4*6*-5)]/(2*6)
----
x = [35 +- sqrt(1345)]/12
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x = [35 +- 36.67]/12
----
x = 5.97 or x = -0.14
===========================
Factors would be (x-5.97)(x+0.14)
Cheers,
Stan H.
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