Question

Find all integers k such that the trinomial can be factored over the integers. (Enter your answers as a comma-separated list.)
3x2 + kx – 5

Answer 1

so this is what we want to do:
We want to find two factors of a*c that have product a*c and that add up to be b

a=3,b=k,c=-5

a*c=-15

How many different ways can you factor -15 (using two integers)?