Question

Factorize: $2x^2-7x-15$.

Answer 1

Factorize $\mathbf{2}{\mathit{x}}^{\mathbf{2}}\mathbf{-}\mathbf{7}\mathit{x}\mathbf{-}\mathbf{15}$.

Here we can write the expression as

$2x^2-7x-15=2x^2-10x+3x-15$

$=x\left(2x+3\right)-5\left(2x+3\right)$

$=\left(2x+3\right)\left(x-5\right)$

Hence, the factored expression is$\left(2x+3\right)\left(x-5\right)$.