Take out a common algebraic factor
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Factorise 4x^2 + 6x^1 by taking out the greatest common algebraic factor.
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Answer: 2x(2x + 3)
- The greatest common numerical factor is 2.
- The smallest shared power is x^1.
- Divide each term by 2x to get 2x(2x + 3).
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Curriculum reference
Victorian Curriculum F–10 Version 2.0
Pi Leo practice scope
Find shared numerical and variable factors and check factorisation by expansion.
Read the official VCAA curriculum description (VC2M10A01)
These quizzes practise concepts within this topic. Multiple-choice answers alone do not demonstrate drawing, conducting an investigation or using a digital tool.
- VC2M10A01-C01Use the greatest common numerical factor and lowest shared power.
- VC2M10A01-C02Factor terms that include a subtraction.
- VC2M10A01-C03Apply and explain take out a common algebraic factor using calculate and explain each step.
- VC2M10A01-C04Apply and explain take out a common algebraic factor using read and connect representations.
- VC2M10A01-C05Apply and explain take out a common algebraic factor using work backwards from what is known.
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Descriptor-derived subskills
- D01Factor every termUse the greatest common numerical factor and lowest shared power.
- D02Keep the signsFactor terms that include a subtraction.
- D03Calculate and explain each stepApply and explain take out a common algebraic factor using calculate and explain each step.
- D04Read and connect representationsApply and explain take out a common algebraic factor using read and connect representations.
- D05Work backwards from what is knownApply and explain take out a common algebraic factor using work backwards from what is known.