Answer
Differences
If $a=1$, we look for factors of $\boxed{c}$ with a sum of $b$.
If $a\neq 1$, we look for factors of $\boxed{ac}$ with a sum of $b$.
Similarities:
In both cases we look for a sum of factors that equals $b$.
Work Step by Step
When factoring$\quad ax^{2}+bx+c$
we find factors (p and q) of $ac$ that have a sum of $b$.
Differences
If $a=1$, we look for factors of $c$ with a sum of $b$.
If $a\neq 1$, we look for factors of $ac$ with a sum of $b$.
Similarities:
In both cases we look for a sum of factors that equals $b$.
