Te reo Māori terms
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Learning objective overview
Master Teaching Guide coverage for this objective.
Current NZC (2007)
- No direct alignment recorded
New NZC (2026)
NZC26-P4-ALG-ER-P-Y10-01NZC26-P4-ALG-ER-K-Y10-05
Resources
- CorbettMaths - Factor Theorem (Further Maths)Questions PDF · Answers
Terminology
- Factor theorem
- Polynomial division
- Complex conjugate root theorem
- Root
- Multiplicity
- Fundamental theorem of algebra
Task goals
- Foundation: Use the factor theorem to verify a given real root of a cubic polynomial and divide to find the remaining quadratic factor.
- Proficient: Find all roots (real and complex) of a cubic or quartic polynomial by combining the factor theorem, polynomial long division, and the quadratic formula.
- Excellence: Apply the complex conjugate root theorem to construct a polynomial with given complex roots, or reason about root multiplicity and degree using the fundamental theorem of algebra.
Where this fits
What leads into this objective, and where it goes next.
Before
Simplifying algebraic fractions
Level 2 algebra review
Simplifying and Solving with Algebraic Fractions
You are here
Complex Roots of Polynomials
For teachers
Need the fuller teaching notes for this objective? Open the Teacher guidance PDF.