### Home > CCG > Chapter Ch8 > Lesson 8.2.1 > Problem8-74

8-74.

What is the probability that $x^2 + 7x + k$ is factorable if $0\le k\le20$ and k is an integer? Homework Help ✎

Think of all of the integer pairs that sum to $7$. Their products are the possible values of $k$.

Since $0$ is in the set of integers, there are a total of $21$ integers.

The possible values of $k$ are $0, 6, 10,$ and $12$.