Answer
$(x^{2}-2)(x+5)$ or $(x+\sqrt 2)(x-\sqrt 2)(x+5)$
Work Step by Step
$x^{3}+5x^{2}-2x-10$
Group terms.
$= (x^{3}+5x^{2})+(-2x-10)$
Factor out common factor
$= x^{2}(x+5)-2(x+5)$
$=(x^{2}-2)(x+5)$
Using $[a^{2}-b^{2} = (a+b)(a-b)]$
$[x^{2}-2=x^{2}-(\sqrt 2)^{2} = (x+\sqrt 2)(x-\sqrt 2)]$
$= (x+\sqrt 2)(x-\sqrt 2)(x+5)$
