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# CCSS.Math.Content.HSA.APR.B.2 - Know and apply the Remainder Theorem: For a polynomial p(x) and a number a, the remainder on division by x - a is p(a), so p(a) = 0 if and only if (x - a) is a factor of p(x).

Authors: National Governors Association Center for Best Practices, Council of Chief State School Officers

Title: CCSS.Math.Content.HSA.APR.B.2 Know And Apply The Remainder Theorem: For A Polynomial P(x)... Arithmetic with Polynomials & Rational Expressions - High School Algebra Mathematics Common Core State Standards

Publisher: National Governors Association Center for Best Practices, Council of Chief State School Officers, Washington D.C.

(Page last edited 10/08/2017)

1. Arithmetic with Polynomials - Worksheet 2 - 10 problems are presented in a PDF worksheet to test the student's knowledge of knowing and applying the remainder theorem.
2. Arithmetic with Polynomials - Worksheet 2 - Answer Key - An answer key is provided in PDF form showing answers for the PDF worksheet that tests the student's knowledge of knowing and applying the remainder theorem.
3. Know and Apply the Remainder Theorem - Before introducing remainders of polynomials to your students, be sure they remember what a remainder is. For example, tell them to divide 13 by 4. Most of them will give you the answer 3.25. Instead, backtrack a few years of schooling and tell them to write their answer as "3 remainder 1." Explain to them that polynomials act the same way.
4. Polynomials - Write a polynomial from its roots
5. Polynomials - Find the roots of factored polynomials
6. Polynomials - Evaluate polynomials using synthetic division
8. Quotient Remainder Theorem - Proving some properties about modular arithmetic

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