Lesson Plan

State the Remainder Theorem: when p(x) is divided by (x - a), the remainder equals p(a)

Use the Remainder Theorem to evaluate a polynomial at a specific value without full substitution, by performing synthetic division

State and apply the Factor Theorem as a corollary: (x - a) is a factor of p(x) if and only if p(a) = 0

Test potential rational roots of a polynomial using the Factor Theorem

Explain why the Remainder Theorem is true using the polynomial division equation p(x) = (x - a)·q(x) + r

HSA.APR.B.2