Consider the quadratic expression 13x^2+nx-17 For certain values of n, it may be factored into a product of two linear polynomials, both of which have integer coefficients. What are all such values of n?
13 x^2 + nx - 17
We can factor this as
(13x + 17) ( x - 1) so n = 17 - 13 = 4
or
(13x - 1) ( x + 17) so n = 17*13 - 1 = 220
(x - 17) (13x + 1) so n = -17(13) + 1 = -220
(x + 1) (13x - 17) so n = -17 + 13 = -4
Thank you!!
+17 
