# The Remainder Theorem

Related Topics:
More Lessons for A Level Maths
Math Worksheets

Examples, solutions, videos, activities, and worksheets that are suitable for A Level Maths.

How to calculate a remainder using the Remainder Theorem?

What is the Remainder Theorem?
The Remainder Theorem states that:
If a polynomial f(x) is divided by (ax - b) then the remainder is given by f(b/a).

Maths : The Remainder Theorem : ExamSolutions
This tutorial shows you how to calculate a remainder using the remainder theorem
Example:
Find the remainder when 4x3 + 5x - 1 is divided by
(i) x - 2
(ii) 2x + 1
Maths : The Remainder Theorem (Example 1) : ExamSolutions
How to calculate a remainder using the remainder theorem?
Example:
Find the remainder when x3 - 4x2 + 2x - 3 is divided by x + 1

Maths : The Remainder Theorem (Example 2) : ExamSolutions
How to calculate a remainder using the remainder theorem?
Example:
Find the remainder when 4x4 - x2 - 8x + 6 is divided by 2x - 1
Maths : The Remainder Theorem (Example 3) : ExamSolutions
How to calculate constants in a polynomial using the remainder theorem?
Example:
When x3 + ax2 + bx - 1 is divided by x - 1 the remainder is 3 and when divided by x + 2 the remainder is -27. Find a and b.

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.