### Home > A2C > Chapter 10 > Lesson 10.1.2 > Problem10-39

10-39.

What is the probability that $x^{2} + kx + 12$ will factor if $0 ≤ k ≤ 8$ and $k$ is an integer? Make an organized list (sample space) to help you determine the probability.

The expression is factorable when $k = ±7 \text{ or }k = ±8$.