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2x^{2}+2x-1-2x+7
Combine 5x^{2} and -3x^{2} to get 2x^{2}.
2x^{2}-1+7
Combine 2x and -2x to get 0.
2x^{2}+6
Add -1 and 7 to get 6.
2x^{2}+6
Multiply and combine like terms.
2\left(x^{2}+3\right)
Factor out 2. Polynomial x^{2}+3 is not factored since it does not have any rational roots.