GCSE · Quadratic equations

Solving quadratics by factorisingExam-style questions

Solve an equation with an $x^2$ in it by splitting it into two brackets. Eight short parts, from why zero makes it work to what the two answers look like on a graph, then the exam questions.

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16 questions · GCSE (Higher) level · mark scheme and worked solution on each · no sign-up to try

DifficultyAll Level 1 Level 2 Level 3 Level 4 Level 5

1
Solve $x^2 + 3x - 10 = 0$ (3 marks)
Level 3 · 3 marksTry it
2
Solve $x^2 - 5x - 24 = 0$ (3 marks)
Level 3 · 3 marksTry it
3
(a) Solve $2x^2 + 7x - 4 = 0$ [3]

(b) Write down the $x$ -coordinate of the turning point of the graph of $y = 2x^2 + 7x - 4$ . [1]
Level 3 · 4 marksTry it
4
(a) Factorise $x^2 + 3x - 28$

(b) Hence solve $x^2 + 3x - 28 = 0$
Level 3 · 3 marksTry it
5
(a) Factorise $x^2 - 9x + 20$

(b) Hence solve $x^2 - 9x + 20 = 0$
Level 3 · 2 marksTry it

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