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Cambridge AS & A Level Mathematics

3.1bPolynomial division; the factor and remainder theorems

Polynomial division; the factor and remainder theorems in Cambridge AS & A Level Mathematics: what the syllabus expects you to know, the learning objectives and how to practise.
Subtopic21 practice questions1 lesson

Learning objectives

What the syllabus expects you to be able to do.

  1. 3.1.2Papers 2 and 3: divide a polynomial of degree up to 4 by a linear or quadratic polynomial, identifying quotient and remainder.
  2. 3.1.3Papers 2 and 3: use the factor and remainder theorems.

Lessons

  • Polynomials: division, identities and the factor and remainder theorems

    45 min

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Sample question

A sample question on this topic. Answer it, check it, then read the worked answer.

Polynomial division; the factor and remainder theorems: sample question

1 mark

Find the remainder when x3−4x2+2x+7x^{3} - 4x^{2} + 2x + 7 is divided by x−3x - 3.

Only if the answer has a unit, e.g. cm or km/h.

Turn Polynomial division; the factor and remainder theorems into a strength.

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