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Cambridge IGCSE Additional Mathematics

3.2-3.3Factors of polynomials and cubic equations

Factors of polynomials and cubic equations in Cambridge IGCSE Additional Mathematics: what the syllabus expects you to know, the learning objectives and how to practise.
Subtopic41 practice questions2 lessons

Learning objectives

What the syllabus expects you to be able to do.

  1. 3.2Find factors of polynomials, obtaining a linear and a quadratic factor of a cubic by observation or long division.
  2. 3.3Solve cubic equations.

Lessons

  • Factorising cubics and solving cubic equations

    40 min

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  • Polynomials: terms, operations and long division

    35 min

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Sample question

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

Factors of polynomials and cubic equations: sample question

1 mark

How many real roots does the equation (x−1)(x2+x+5)=0(x - 1)\left(x^{2} + x + 5\right) = 0 have?

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

Turn Factors of polynomials and cubic equations into a strength.

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