# The Factor Theorem

Examples, solutions, videos, and lessons to help High School students know and apply the Remainder Theorem and Factor 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 the Factor Theorem, 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.B.2

The Factor Theorem
This lesson demonstrates how to use the Factor Theorem to factor polynomials.

The Factor Theorem and The Remainder Theorem
What the theorems are and how they can be used to find the linear factorization of a polynomial.

Polynomials - Factor Theorem
Description and examples of the Factor Theorem.

The Factor Theorem
This will introduce the factor theroem

Using the Remainder and Factor Theorem
This video shows the use of the remainder and factor theorem in finding the remainders of polynomial divisions and also the factors of polynomial divisions.

Remainder Theorem and Factor Theorem
The remainder theorem and the factor theorem as a means of testing for divisibility.

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. 