AQA · Mathematics · 8300
GCSE Maths: Factorisation: quadratics
Algebra · AQA GCSE Maths (8300). Cards are generated from the Corbettmaths practice questions for Factorisation: quadratics (Corbettmaths Video 118), and every card links back to the exact page it came from. Practice tests generate fresh variations of these questions, so the numbers change every attempt. Source material © Corbettmaths — used with attribution.
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Factorise x² + x − 6
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(x + 3)(x − 2)
Factorise x² + 5x + 6
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(x + 2)(x + 3)
Factorise x² − 121
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(x + 11)(x − 11)
What is the general form for factorising a difference of two squares x² − a²?
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(x + a)(x − a)
Factorise y² − 9w²
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(y + 3w)(y − 3w)
Factorise 2y² + 7y − 15
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(2y − 3)(y + 5)
Factorise fully 2y² − 50
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2(y² − 25) = 2(y + 5)(y − 5)
If Freddy factorises x² − 11x + 30 as (x + 5)(x + 6), what is his mistake?
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Both factors should be negative: (x − 5)(x − 6), because the x coefficient is negative and the constant is positive.
Factorise 3x² + 4xy + y²
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(3x + y)(x + y)
Factorise fully (x + 4)² + 3(x + 4)
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(x + 4)(x + 7)
If 10x² + 9x + 2 = (5x + 2)(2x + 1), what is the factorisation of 10(y − 3)² + 9(y − 3) + 2?
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(5(y − 3) + 2)(2(y − 3) + 1) = (5y − 13)(2y − 5)
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