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2x^{2}+x+1-x+1
Combine x^{2} and x^{2} to get 2x^{2}.
2x^{2}+1+1
Combine x and -x to get 0.
2x^{2}+2
Add 1 and 1 to get 2.
2x^{2}+2
Multiply and combine like terms.
2\left(x^{2}+1\right)
Factor out 2. Polynomial x^{2}+1 is not factored since it does not have any rational roots.