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Algebra · SS2

Polynomials & algebraic division

Dividing polynomials, and the factor and remainder theorems.

Before this
Quadratics & their graphs
Leads to
Polynomials & quadratic roots

Learn

  1. 1Multiplying and dividing polynomialsTerms, coefficients and degree, multiplying polynomials, long division by a linear or quadratic divisor, and dividend = divisor × quotient + remainder.Done15 min
  2. 2The remainder and factor theoremsThe remainder on dividing by x − a is f(a); x − a is a factor when f(a) = 0; finding one or two unknown coefficients from remainders and factors.Done15 min
  3. 3Solving cubic equationsFinding a first root by trial, dividing down to a quadratic, factorising by grouping, building a polynomial from its roots, reading roots from a graph, and the sum and difference of two cubes.Done16 min

Practise

Answer polynomials & algebraic division questions one at a time. You'll know straight away whether you're right, with hints and the working step by step.

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Past questions (39)

From 1983–2024: 1 WAEC, 1 NECO, 37 JAMB. Theory questions first, then objective, newest first.

Objective (39)