In bespeak to element a trinomial, we uncover two numbers whose product is ac and whose sum is b.

You are watching: Factor (x^2+4)

In the case of x4 -5x2 +4, these numbers would be -4 and also -1. We usage x2 because that each element in order to account for the x4 and -5x2. A this point, we notice that x2-4 is a difference of squares that factors to (x+2)(x-2) and also x2-1 is additionally a difference of squares that determinants to (x+1)(x-1). So our final answer in factored kind is (x+2)(x-2)(x+1)(x-1).

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