# The Remainder Theorem

Related Topics:
Common Core (Algebra)
Common Core for Mathematics

Examples, solutions, videos, and lessons to help High School students 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 ofp(x).

### Suggested Learning Targets

• Understand and apply the Remainder Theorem.
• Understand that a is a root of a polynomial function if and only if x-a is a factor of the function.

Common Core: HSA-APR.A.2

The Remainder Theorem - Example 1
Use the remainder theorem to find the remainder when dividing a polynomial by a linear polynomial.

The Remainder Theorem - Example 2
Dividing Polynomials and The Remainder Theorem.

This lesson shows how to divide a polynomial by a binomial using both long division and synthetic division. The lesson also discusses the Remainder Theorem and shows how to use it to find remainders in algebraic divisions.
Dividing Polynomials and the Remainder Theorem Part 2
This lesson shows how to divide a polynomial by a binomial using both long division and synthetic division. The lesson also discusses the Remainder Theorem and shows how to use it to find remainders in algebraic divisions. Dividing Polynomials and the Remainder Theorem Part 3. Polynomials - Remainder Theorem
Description of the remainder theorem. Remainder Theorem for Division
This video explains how to use remainder theorem to divide polynomials.

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