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2x^{2}+2x+4-2x+4
Combine 4x and -2x to get 2x.
2x^{2}+4+4
Combine 2x and -2x to get 0.
2x^{2}+8
Add 4 and 4 to get 8.
2\left(x^{2}+4\right)
Factor out 2. Polynomial x^{2}+4 is not factored since it does not have any rational roots.