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-x^{2}+3x^{2}-7+11
Combine -x and x to get 0.
-x^{2}+3x^{2}+4
Add -7 and 11 to get 4.
2x^{2}+4
Combine -x^{2} and 3x^{2} to get 2x^{2}.
2x^{2}+4
Multiply and combine like terms.
2\left(x^{2}+2\right)
Factor out 2. Polynomial x^{2}+2 is not factored since it does not have any rational roots.