Answer
$2x-5$
Work Step by Step
Factor $2x^2-x-10$ to obtain $(2x-5)(x+2)$.
Thus,
$\require{cancel}
(2x^2-x-10) \div (x+2)
\\=[(2x-5)(x+2)] \div (x+2)
\\=\dfrac{(2x-5)(x+2)}{x+2}
\\=\dfrac{(2x-5)\cancel{(x+2)}}{\cancel{x+2}}
\\=2x-5$