Answer
$(x^2+2)(x-4)(x+4)$
Work Step by Step
$x^4-14x^2-32$
$14=16-2$
$x^4-14x^2-32$
$x^4-(16-2)x^2-32$
$x^4-16x^2+2x^2-32$
$x^2(x^2-16)+2(x^2-16)$
$(x^2+2)(x^2-16)$
$(x^2+2)(x-4)(x+4)$
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