Apply the Remainder Theorem

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HSA.APR.B.2

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

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