Polynomials Key Operations Adding/Subtracting: combine like terms Multiplying: distribute (FOIL for binomials) Dividing: long division or synthetic division Zeros & Factors If (x - a) is a factor, then x = a is a zero Remainder Theorem: f(a) = remainder when f(x) ÷ (x - a) Factor Theorem: if f(a) = 0, then (x - a) is a factor End Behavior Leading coefficient positive + even degree → up on both ends Leading coefficient positive + odd degree → down left, up right Negative leading coefficient → flip the above SAT Focus Factoring by grouping Finding zeros from factored form Matching graphs to equations based on zeros and end behavior