Question

x^2+kx+14
find all the values of k so that the trinomial can be factored using integers

Answer 1

So you need to find all the factor pairs of 14:
1 and 14
-1 and -14
2 and 7
-2 and -7
Then for each one add them together to get k:
15
-15
9
-9
respectively

Answer 2

The polynomials will be
x^2+15x+14
x^2-15x+14
x^2+9x+14
x^2-9x+14

Answer 3

Does that help? :)