Find all integers n such that the quadratic 7x^2 + nx - 12 can be expressed as the product of two linear factors with integer coefficients.
(7x + a)(x+b)
Now sub in for a and b the following pairs and compute the value of n n = 7b +a
a b n
12 -1 5
-1 12 83
-12 1 -5 etc
1 -12
2 -6
-6 2
-2 6
6 -2
3 -4
-4 3
-3 4
4 -3
That's a nice solution method, guest !!!!!
