Question

Factorise:
x² − 5x − 24

Answer 1

$$\begin{gathered} Thegivenexpressionis{x}^2-5x-24. \\ \mathrm{Find}\mathrm{two}\mathrm{numbers}\mathrm{that}\mathrm{follow}\mathrm{the}\mathrm{conditions}\mathrm{given}\mathrm{below}: \\ Sum=-5 \\ Product=-24 \\ Clearly,thenumbersare-8and3. \\ {x}^2-5x-24=x^2-8x+3x-24 \\ =x(x-8)+3(x-8) \\ =(x-8)(x+3) \end{gathered}$$