Polynomial functionsUnit 1

Using the remainder theorem

Find the remainder after division by by evaluating .

  • The remainder when is divided by is .
  • For division by , evaluate .
  • A zero remainder also confirms a factor. This substitution rule here is for a linear divisor.

Example 1

No division needed

Find the remainder on division by .

Example 2

Find the remainder on division by .

Your turn

5 practice questions
Question 1

Find the remainder when is divided by .

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Question 2

Find the remainder when is divided by .

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Question 3

Find the remainder when is divided by .

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Question 4

Find the remainder when is divided by .

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Question 5

Find the remainder when is divided by .

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