Question

Factorise:
2x² − 17x − 30

Answer 1

$$\begin{gathered} Thegivenexpressionis2x^2-17x-30. \\ \mathrm{Find}\mathrm{two}\mathrm{numbers}\mathrm{that}\mathrm{follow}\mathrm{the}\mathrm{conditions}\mathrm{given}\mathrm{below}: \\ Sum=-17 \\ Product=-30\times 2=-60 \\ Clearly,thenumbersare-20and3. \\ 2x^2-17x-30=2x^2-20x+3x-30 \\ =2x(x-10)+3(x-10) \\ =(2x+3)(x-10) \end{gathered}$$