## 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 OfficersTitle: 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.

Copyright Date: 2010

(Page last edited 10/20/2014)

- 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.
- 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.
- 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.
- Polynomials - Write a polynomial from its roots
- Polynomials - Find the roots of factored polynomials
- Polynomials - Evaluate polynomials using synthetic division
- Quadratic functions - Find a quadratic function
- Quotient Remainder Theorem - Proving some properties about modular arithmetic