Last updated on Sep 21, 2026

More factorising - quadratics (OCR GCSE Maths): Quizzes

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More factorising - quadratics

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What form does a quadratic expression take?

$ax^2 + bx + c$

To factorise $x^2 + bx + c$ , two numbers $m$ and $n$ must add to give what?

The coefficient $b$

What is $x^2 + 7x + 10$ factorised?

$(x+2)(x+5)$

What is $p^2 + 2p - 15$ factorised?

$(p-3)(p+5)$

To factorise $v^2 - 9v + 18$ , what type of numbers are needed?

Two negative numbers

What is the formula for difference of two squares?

$a^2 - b^2 = (a+b)(a-b)$

What is $x^2 - 16$ factorised?

$(x+4)(x-4)$

What is $4t^2 - 49$ factorised?

$(2t+7)(2t-7)$

For $5g^2 - 9g - 27$ , what should you multiply to find the numbers?

$5 \times -27 = -135$

For $6c^2 - 23c + 20$ , which numbers work?

$-15$ and $-8$

In diagonal method for $2x^2 - x - 3$ , which pair gives $-1x$ ?

$(2x+1)$ and $(x-3)$

How should you check if factorising is correct?

Expand the brackets

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