Find all integers \(n\) such that the quadratic \(7x^2 + nx - 11\) can be expressed as the product of two linear factors with integer coefficients.
7x2 + nx -11 could be factored as:
(7x - 1)(x + 11)
(7x + 1)(x - 11)
(7x - 11)(x + 1)
(7x + 11)(x - 1)
Multiplying these out will give you the various possibilities for n ...