Find all the values of k so that the trinomial x^2 + kx - 35 can be factored using integers.

Answer 1

Let find all factoring for: - 35 = - 1·35 = - 35·1 = - 7·5 = - 5·7.

So, k = - (- 1 + 35) = - 34 or k = - (- 35 + 1) = 34 or k = - (- 5 + 7) = - 2 or k = - (- 7 + 5) = 2.

Answer: values of k are { - 34, 34, - 2, 2}