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\frac{5}{4}x^{2}+\frac{1}{4}
Combine x^{2} and \frac{1}{4}x^{2} to get \frac{5}{4}x^{2}.
\frac{4x^{2}+x^{2}+1}{4}
Factor out \frac{1}{4}. Polynomial 5x^{2}+1 is not factored since it does not have any rational roots.