Support · Mathematics Extension 1 11–12 – Year 11 · Polynomials
Support Define α as a repeated zero or multiple zero of a non-zero polynomial P(x) = (x - α)Q(x) when (x - α) is a factor of Q(x), and α as a single zero of P(x) when (x - α) is not a factor of Q(x), for Q(x)≠0
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
Graph polynomials in factored form
Stage 5 · Polynomials (Path) Draft mapping
No checked resources on this prerequisite dot point yet.
Develop and apply the factor theorem to factorise particular polynomials completely 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: Factors and zerosUse it for: Printable skills-practice sheet with answer key on factors and zeros; good for drill or homework.
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.