Answer
$(x^2+4),(x-\sqrt 6),(x+\sqrt 6)$
Work Step by Step
Given: $x^4-2x^2-24$
or, $=(x^2)^2-2x^2-24$
or,$=(x^2)^2-6x^2+4x^2-24$
or, $=(x^2+4)(x^2-6)$
or, $=(x^2+4)(x-\sqrt 6)(x+\sqrt 6)$
Hence, factors are: $(x^2+4),(x-\sqrt 6),(x+\sqrt 6)$