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Polynomials & Algebra

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Topic overview

Factorisation, polynomial division, Vieta's formulas, binomial expansion

Key concepts

Discontinued; only retained for training on the final historical syllabus scope, and is not a current entrance examination.

Key points

  • ◆Follow the prerequisite knowledge requirements given by the examination body; new concepts may only be used when the question provides sufficient guidance.
  • ◆The examples on this site are training with a limited scope and do not represent full syllabus coverage or official difficulty.

Worked examples

Try each example yourself before checking the explanation.

1Basic examples within scope

How many distinct real roots does x4−5x2+4=0x^4 - 5x^2 + 4 = 0 have?

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