Support · Mathematics Extension 1 11–12 – Year 11 · Polynomials
Support Prove and apply the remainder theorem for polynomials: when P(x) is divided by x - α, the remainder is P(α), and solve related polynomial problems
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
Verify the remainder theorem and use it to find factors of polynomials and solve related problems
Stage 5 · Polynomials (Path) Draft mapping
- Interactive toolStarterMaths Is Fun: Remainder and factor theoremsUse it for: Explains the remainder and factor theorems with examples.
- WorksheetDrillKuta free worksheet: The remainder theoremUse it for: Printable skills-practice sheet with answer key on the remainder theorem; good for drill or homework.
Divide a polynomial by a linear polynomial to find the quotient and remainder
Stage 5 · Polynomials (Path) Draft mapping
- Interactive toolStarterMaths Is Fun: Polynomial long divisionUse it for: Step-by-step polynomial long division.
- WorksheetDrillKuta free worksheet: Dividing polynomialsUse it for: Printable skills-practice sheet with answer key on dividing polynomials; good for drill or homework.
- VideoStarterEddie Woo (WooTube): Basic Polynomials playlistUse it for: Sydney teacher Eddie Woo's recorded lessons on polynomials; play a clip to model a method or for revision.
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
- Interactive toolStarterMaths Is Fun: Polynomial long divisionUse it for: Step-by-step polynomial long division.