Factorisation of polynomials
Specialist Mathematics · Unit 3 — Further complex numbers, proof, vectors and matrices · Further complex numbers
Learning objectives (3)
LO-1Apply the factor theorem and the remainder theorem for polynomials.LO-2Solve 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.LO-3Understand and use the complex conjugate root theorem for polynomials with real coefficients, e.g. factorise a cubic polynomial with real coefficients given one factor.
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