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4x^{2}-x+5+x-1
Combine 3x^{2} and x^{2} to get 4x^{2}.
4x^{2}+5-1
Combine -x and x to get 0.
4x^{2}+4
Subtract 1 from 5 to get 4.
4x^{2}+4
Multiply and combine like terms.
4\left(x^{2}+1\right)
Factor out 4. Polynomial x^{2}+1 is not factored since it does not have any rational roots.