SOLUTION: I'm trying to factor polynomials; I'm doing word problems. However, I cannot understand how to find the factor of a number that will add up to the middle number. For example n^2+

Question 113317: I'm trying to factor polynomials; I'm doing word problems. However, I cannot understand how to find the factor of a number that will add up to the middle number. For example n^2+2n-112=0 - 2(n2+n-112)= 0 - (n )(n ) How do I find the multiples for 112. Is there an easy method?

Answer by Fombitz(32388) (Show Source): You can put this solution on YOUR website!
Any number that ends in 2 is divisible by 2.
112=2*56
I don't think that's what you want to do here.
I think you want to complete the square.
That is, there's a number,d, such that

If you look at your equation and compare the "n" terms, you have

In your case d=1,

And then I can substitute in your original equation,

The solutions are

and

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