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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 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 of*p*(*x*).

### Suggested Learning Targets

**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.

You can use the free Mathway calculator and problem solver below to practice Algebra or other math topics. Try the given examples, or type in your own problem and check your answer with the step-by-step explanations.

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 and Factor Theorem:

For a polynomial

so

- 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.

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

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

Description and examples of the Factor Theorem.

This will introduce the factor theroem

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.

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

Rotate to landscape screen format on a mobile phone or small tablet to use the **Mathway** widget, a free math problem solver that **answers your questions with step-by-step explanations**.

You can use the free Mathway calculator and problem solver below to practice Algebra or other math topics. Try the given examples, or type in your own problem and check your answer with the step-by-step explanations.

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