Te reo Māori terms
click each term to open in Te Aka
Learning objective overview
Master Teaching Guide coverage for this objective.
Current NZC (2007)
NA6-5NA6-6
New NZC (2026)
NZC26-P4-ALG-ER-P-Y10-01
Resources
- Dr Austin Maths - Factorising Quadratics by Taking Out Common Factors Practice GridQuestions PDF · Answers
- Dr Austin Maths - Mixed Factorising Quadratics Practice GridQuestions PDF · Answers
- Dr Austin Maths - Completing the Square Practice GridQuestions PDF · Answers
- Dr Austin Maths - Harder Completing the Square Practice GridQuestions PDF · Answers
Terminology
- factorise
- coefficient
- common factor
- quadratic expression
Task goals
- Factorise quadratics ax^2+bx+c where a is not 1, with positive coefficients b and c.
- Factorise quadratics ax^2+bx+c where a is not 1, with negative b and/or c.
- Complete a partially factorised quadratic, or identify which of two given factorisations is correct.
- Factorise harder quadratics with larger coefficients, including taking out a common factor first and factorising expressions with a negative leading coefficient.
- Determine whether a given factorisation of a quadratic is correct and explain any error.
- Solve a quadratic equation by factorising and setting each factor equal to zero.
- Find an unknown coefficient in a quadratic given its factorised form, and expand or construct quadratics from given factors.
Where this fits
What leads into this objective, and where it goes next.
Before
Factorising double brackets (with a leading coefficient of 1)
Expanding and Factorising Algebraic Expressions
Expanding and Factorising Using the Distributive Law (Foundational)
You are here
Factorising quadratics where a ≠ 1
Next
Year 10 is the last year of this phase — the curriculum lists nothing after this. No extension resources on the site yet.
For teachers
Need the fuller teaching notes for this objective? Open the Teacher guidance PDF.