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11–12Mathematics Extension 1 11–12 Syllabus

Record of changes
Implementation from 2026
Expand for detailed implementation advice

Content

Year 11

Polynomials
Language and graphs of polynomials
  • Define a polynomial to be monic if its leading coefficient is 1

  • State the multiplicity of each root of a polynomial equation given in factored form

  • Find the zeroes of a polynomial that is expressed as a product of linear factors, determine their multiplicity and graph the polynomial

Remainder and factor theorems
  • Examine the process of division of polynomials by comparing with the process of division with remainders for whole numbers, and use the terms dividend, divisor, quotient and remainder

Sums and products of zeroes of polynomials
  • Use the formulas for the sums and products of zeroes to solve problems involving zeroes and coefficients of quadratic, cubic and quartic polynomials

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