Question 29197: How to find all possible values of b such that x^2+bx+12 can be factored.
Answer by longjonsilver(2297)   (Show Source):
You can put this solution on YOUR website! i assume you mean all possible INTEGER values of b? If not, then there are an infinite number of answers...
For just integers:
1*12
2*6
3*4
are pairs that multiply to give 12. Since both bx and 12 are both +ve, then the factors are both +ve too, so the middle term will be one of the following:
1*12 --> 13
2*6 --> 8
3*4 --> 7
So b is either 13 or 8 or 7
Jon.
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