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

No hints on this one — its full written solution is with the answer.

2
Factorise 12x2−20x\displaystyle 12x^2-20x

No hints on this one — its full written solution is with the answer.

3
Factorise 9x2−25\displaystyle 9x^2-25

No hints on this one — its full written solution is with the answer.

4
Fully factorise 12x2−27y2\displaystyle 12x^2-27y^2

No hints on this one — its full written solution is with the answer.

5
Factorise x2+11x+10\displaystyle x^2+11x+10

No hints on this one — its full written solution is with the answer.

6
Factorise x2−2x−8\displaystyle x^2-2x-8

No hints on this one — its full written solution is with the answer.

7
Factorise x2+3x−18\displaystyle x^2+3x-18

No hints on this one — its full written solution is with the answer.

8
Factorise x2−9x+20\displaystyle x^2-9x+20

No hints on this one — its full written solution is with the answer.

9
Factorise 12+4x−x2\displaystyle 12+4x-x^2

No hints on this one — its full written solution is with the answer.

10
Factorise 3x2+16x+5\displaystyle 3x^2+16x+5

No hints on this one — its full written solution is with the answer.

11
Factorise 2x2−7x−4\displaystyle 2x^2-7x-4

No hints on this one — its full written solution is with the answer.

12
Fully factorise 6x2−21x−12\displaystyle 6x^2-21x-12

No hints on this one — its full written solution is with the answer.

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.

No hints on this one — its full written solution is with the answer.

Keep practising

More factorising questions

New questions, modelled on past paper questions and checked against their marking instructions. Not reprints — you have not seen these before.

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