Support · Mathematics Extension 2 11–12 – Year 12 · Introduction to complex numbers
Support Solve problems involving complex conjugate roots of polynomial equations with real coefficients
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.
Prerequisite links are draft mappings generated from the syllabus structure (earlier stage, same strand, closest content). They are being reviewed by teachers. Spot a poor match? Tell us.
Prerequisite dot points
Define a polynomial to be monic if its leading coefficient is 1
Mathematics Extension 1 11–12 – Year 11 · Polynomials Draft mapping
No checked resources on this prerequisite dot point yet.
Define the zeroes of P(x) to be the numbers α such that P(α) = 0, and define the roots of the polynomial equation P(x) = 0 to be its solutions, and recognise that every real number is a zero of the zero polynomial
Mathematics Extension 1 11–12 – Year 11 · Polynomials Draft mapping
No checked resources on this prerequisite dot point yet.
Define the zero polynomial to be P(x) = 0 to be the polynomial with all the coefficients equal to zero and recognise that the zero polynomial has no leading term, no leading coefficient, no degree and constant term 0
Mathematics Extension 1 11–12 – Year 11 · Polynomials Draft mapping
No checked resources on this prerequisite dot point yet.