Practice Factoring Trinomials in Math

Quick Recap

Factoring a trinomial of the form $a{x}^2+bx+c$ into a product of two binomials by finding two numbers that multiply to $ac$ and add to $b$.

You are reverse-engineering FOIL. If $(x+p)(x+q)=x^2+(p+q)x+pq$, then you need two numbers $p$ and $q$ whose sum is $b$ and whose product is $c$ (when $a=1$). When $a\mathrm{\ne }1$, use the AC method: find two numbers that multiply to $ac$ and add to $b$, then split the middle term and factor by grouping.