Support · Mathematics Extension 2 11–12 – Year 12 · Introduction to complex numbers
Support Use de Moivre’s theorem to find any integer power of a given complex number
Resources for the prerequisite content of this dot point: earlier-stage (or earlier sub-level) dot points in the same strand that students usually need first. Use these to fill gaps before or alongside the core lesson.
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Prerequisite dot points
Derive the binomial theorem: (x + y)ⁿ = ⁿC_0xⁿ + ⁿC_1x^(n - 1)y + ⁿC_2x^(n - 2)y² + … + ⁿC_n - 1xy^(n - 1) + ⁿC_nyⁿ, when n is a positive integer
Mathematics Extension 1 11–12 – Year 11 · The binomial theorem Draft mapping
No checked resources on this prerequisite dot point yet.
Recognise the equivalence between the coefficient of x^(n - r)y^r in the expansion of (x + y)ⁿ and ⁿC_r, when n is a positive integer
Mathematics Extension 1 11–12 – Year 11 · The binomial theorem Draft mapping
No checked resources on this prerequisite dot point yet.
Use the binomial theorem to determine the coefficient of a term with a specific power or the constant term in a binomial expansion
Mathematics Extension 1 11–12 – Year 11 · The binomial theorem Draft mapping
No checked resources on this prerequisite dot point yet.