Factor x^4 + 4 in Q[x]. I'm not sure how to start this...
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$\displaystyle \begin{align*}x^4+4 & = x^4+4x^2 - 4x^2 + 4 \\ & = (x^4+4x^2+4) - (2x)^2 \\ & = (x^2+2)^2-(2x)^2 \\ & = (x^2+2x+2)(x^2-2x+2)\end{align*}$
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