Mathematics Extension 1 11–12 – Year 12 · Further applications of calculus · Multiplicity of zeroes of polynomial functions · Topic: Calculus · Year 11, 12
Use the product rule to prove that if P(x) has a zero, α, of multiplicity m > 1, then α is a zero of P'(x) of multiplicity m - 1, and use the result to determine the multiplicity of a discovered zero of P(x) and solve related polynomial problems
Dot point ID extension-1-year-12-further-applications-of-calculus/dp-1ff7fc75 · See it on the NSW Curriculum website ↗
↩SupportBuild the prerequisite skills first · 3 resources★EnrichExtension & rich tasks · 0 resources
Outcomes for this focus area (ME1-12-05)
ME1-12-05 applies calculus to solve problems involving polynomials, further rates of change, areas and volumes and differential equationsCore resources for this dot point
On-level resources, grouped by type. Need the building blocks? Use Support. Ready for more? Use Enrich.
No checked core resources tagged to this exact dot point yet. See the focus area resources below.