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Algebra · Guided Practice

Factorising

14 questions with answers and video solutions. Try each one before revealing the answer.

1
Factorise 10x2−5\displaystyle 10x^2-5
2
Factorise 12x2−20x\displaystyle 12x^2-20x
3
Factorise 9x2−25\displaystyle 9x^2-25
4
Fully factorise 12x2−27y2\displaystyle 12x^2-27y^2
5
Factorise x2+11x+10\displaystyle x^2+11x+10
6
Factorise x2−2x−8\displaystyle x^2-2x-8
7
Factorise x2+3x−18\displaystyle x^2+3x-18
8
Factorise x2−9x+20\displaystyle x^2-9x+20
9
Factorise 12+4x−x2\displaystyle 12+4x-x^2
10
Factorise 3x2+16x+5\displaystyle 3x^2+16x+5
11
Factorise 2x2−7x−4\displaystyle 2x^2-7x-4
12
Fully factorise 6x2−21x−12\displaystyle 6x^2-21x-12
13
2016 P2 Q4
2 Marks

Factorise fully 3x2−48\displaystyle 3x^{2}-48.

14
2021 P2 Q3

Factorise fully 3a2−75.\displaystyle 3a^2-75\small.

Practice questions courtesy of Maths.scot. Full written solutions are on his site — the links above go straight to them.

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