Specialist Mathematics · Unit 3 · Further complex numbers · Factorisation of polynomials

Understand and use the complex conjugate root theorem for polynomials with real coefficients, e.g. factorise a cubic polynomial with real coefficients given one factor.

Learning objective 3 of 3 in this subtopic

Practise this objective

AI-marked practice questions tied to QCAA mark schemes for this exact LO. Free to start.

Start free practice

More in Factorisation of polynomials

Solve polynomial equations over ℂ to order 4 including those with real and imaginary coefficients, e.g. solve 𝑧4 + 𝑧3 − 𝑧2 + 𝑧 − 2 = 0 and 𝑧3 − 2𝑖 𝑧2 + 𝑧 − 2𝑖 = 0.

All LOs in Factorisation of polynomials Back to full Specialist Mathematics syllabus