Practice Factoring Trinomials in Math

Quick Recap

Factoring a trinomial of the form $ax^2 + bx + c$ 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 $a \neq 1$, use the AC method: find two numbers that multiply to $ac$ and add to $b$, then split the middle term and factor by grouping.