The quadratic is factorisable over the integers

MATHEMATICS · Single correct · AoPS · Mathematics · Quadratic Equations - Part 1 · Quadratic Equations - Part 1

Problem

The quadratic

3x^2 + (k-2)x - 2k

is factorisable over the integers. If

k

is a positive integer not exceeding

6

, which one of the following values of

k

satisfies this condition? (a)

2

(b)

6

(c)

1

(d)

3