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Algebra 2 · A-APR

Remainder and Factor Theorem

Remainder Theorem — p(k) equals the remainder when p(x) is divided by (x−k). Factor Theorem — (x−k) is a factor iff p(k)=0.

Algebra 2Common Core HSA-APR.B.2A-APRVerified correct ✓

Worked examples

Use the Remainder Theorem: find the remainder when p(x) = x² + 4x - 1x + 2 is divided by (x + 3).
Answer: -2
Use the Remainder Theorem: find the remainder when p(x) = x² - 3x - 2x + 7 is divided by (x + 3).
Answer: 23

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