Answer
$3n(n - 7)(n - 2)$
Work Step by Step
First, we factor out what is common in both terms:
$3n(n^2 - 9n + 14)$
To factor this expression inside the parentheses, we want to find which factors when multiplied will give us the product of the $a$ and $c$ terms, which is $14$, but when added together will give us the $b$ term, which is $-9$. This means that both factors should be negative.
Let's look at possible factors:
$-7$ and $-2$
$-14$ and $-1$
The first combination will work.
Let's write the expression in factored form:
$3n(n - 7)(n - 2)$
