The Remainder Theorem
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.
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 3. Polynomials - Remainder Theorem
Description of the remainder theorem. Remainder Theorem for Division
This video explains how to use remainder theorem to divide polynomials.
Try the free Mathway calculator and
problem solver below to practice various math topics. Try the given examples, or type in your own
problem and check your answer with the step-by-step explanations.
We welcome your feedback, comments and questions about this site or page. Please submit your feedback or enquiries via our Feedback page.