Factorising Practice Questions

Factorise $7p - 21$

Factorise $5t + 20$

Factorise $t^2 - 8t$

Factorise $x^2 + 10x + 25$

Factorise fully $12k^2 - 8k$

Factorise $x^2 + 9x + 20$

Factorise $x^2 - 11x + 24$

Factorise $x^2 - 64$

Factorise $x^2 - 6x - 16$

The diagram shows a rectangle.

$(x-4)$ cmArea = x² − 2x − 8cm²w cm

The area of the rectangle is $(x^2 - 2x - 8)$ cm².
The length of the rectangle is $(x - 4)$ cm.

Find an expression for $w$, the width of the rectangle.

Factorise fully $5x^2 - 45$