SOLUTION: could any one help me with this problem factored. x^2-7x-60

Question 209410: could any one help me with this problem factored.
x^2-7x-60
Answer by RAY100(1637) (Show Source): You can put this solution on YOUR website!
x^2 -7x -60
.
The sign of the last term, (-), indicates that the factors will have different signs, and be a difference.
.
The sign of the second term,,(-), indicates that the largest factor will be negative,(-)
.
Factors of the first term are just, 1*1
.
Factors of the last term are, 1*60, 2*30,,3*20, 4*15, 5*12, 6*10,
.
Since we need a difference of 7 (middle term), let's try,,5*12
.
(x-12)(x+5)
,
Check, by FOIL,, x^2 +5x-12x -60,,,x^2 -7x -60,,,,ok
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