10 questions🇬🇧English

🧮 Factorising Quadratics – GCSE

Maths · GCSE — practise factorising quadratic expressions and solving quadratic equations by factorising

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Questions

Factorise x² + 5x + 6:

(x + 2)(x + 3)

(x + 1)(x + 6)

(x + 5)(x + 1)

(x − 2)(x − 3)

20s

Fully factorise 6x² + 9x:

3x(2x + 9)

x(6x + 9)

3(2x² + 3x)

3x(2x + 3)

20s

Factorise x² − 49:

(x − 7)²

(x − 7)(x + 1)

(x + 7)(x − 7)

(x + 7)²

20s

Factorise x² − 2x − 15:

(x − 15)(x + 1)

(x − 5)(x − 3)

(x − 5)(x + 3)

(x + 5)(x − 3)

30s

Solve x² − 7x + 12 = 0:

x = −3 or x = −4

x = 3 or x = 4

x = −2 or x = −6

x = 2 or x = 6

30s

Solve x² = 5x:

x = 5 only

x = 0 or x = 5

x = √5 only

x = 0 or x = −5

30s

A quadratic equation has roots x = 2 and x = −5. Which equation is it?

x² − 3x + 10 = 0

x² + 3x − 10 = 0

x² − 3x − 10 = 0

x² + 3x + 10 = 0

30s

Factorise 2x² + 7x + 3:

(2x − 1)(x − 3)

(2x + 1)(x + 3)

(2x + 6)(x + 1)

(2x + 3)(x + 1)

30s

Fully factorise 9x² − 16y²:

(3x − 4y)²

(3x + 4y)(3x − 4y)

(3x + 8y)(3x − 2y)

(9x + 4y)(x − 4y)

30s

Solve 3x² − 10x − 8 = 0:

x = 4 or x = −3/2

x = −4 or x = 2/3

x = 8 or x = −1/3

x = 4 or x = −2/3

60s