Evaluate
x^{2}-\frac{31}{4}
Factor
\frac{4x^{2}-31}{4}
Graph
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x^{2}-8+\left(\frac{1}{2}\right)^{2}
Calculate 2 to the power of 3 and get 8.
x^{2}-8+\frac{1}{4}
Calculate \frac{1}{2} to the power of 2 and get \frac{1}{4}.
x^{2}-\frac{31}{4}
Add -8 and \frac{1}{4} to get -\frac{31}{4}.
\frac{4x^{2}-31}{4}
Factor out \frac{1}{4}. Polynomial 4x^{2}-31 is not factored since it does not have any rational roots.
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