Support · Mathematics Extension 1 11–12 – Year 11 · Polynomials

Support Express in the form P(x) = A(x)Q(x) + R(x) the result of dividing P(x) by a divisor A(x), that is not the zero polynomial, with quotient Q(x) and remainder R(x), and explain why either R(x) = 0 or deg⁡R(x)

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.

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Prerequisite dot points

Express a polynomial in the form P(x) = D(x)Q(x) + R(x), where D(x) is the divisor, Q(x) is the quotient and R(x) is the remainder

Stage 5 · Polynomials (Path) Draft mapping

Divide a polynomial by a linear polynomial to find the quotient and remainder

Stage 5 · Polynomials (Path) Draft mapping

  • Interactive toolStarter
    Maths Is Fun: Polynomial long division
    Maths Is Fun · Interactive (browser) · Free · Link checked 2026-10-15 · No prep
    Use it for: Step-by-step polynomial long division.
  • WorksheetDrill
    Kuta free worksheet: Dividing polynomials
    Kuta Software · PDF · Printable PDF · Free · Link checked 2026-10-15 · Answers included, No prep, Printable
    Use it for: Printable skills-practice sheet with answer key on dividing polynomials; good for drill or homework.
  • VideoStarter
    Eddie Woo (WooTube): Basic Polynomials playlist
    Eddie Woo – WooTube (YouTube) · Video · Free · Link checked 2026-10-15 · No prep
    Use it for: Sydney teacher Eddie Woo's recorded lessons on polynomials; play a clip to model a method or for revision.

Identify the dividend, divisor, quotient and remainder in numerical division

Stage 5 · Polynomials (Path) Draft mapping

No checked resources on this prerequisite dot point yet.