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