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.
The possible factors of 7x2 + nx - 11 are:
(7x - 1)(x + 11)
(7x +1)(x - 11)
(7x + 11)(x - 1)
(7x - 11)(x + 1)
Multiply out each of these and you will have all the possible values of n.
