Evaluate
x^{2}-7x-1
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x^{2}-7x-1
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\frac{x\left(x-\left(-\frac{1}{2}\sqrt{53}+\frac{7}{2}\right)\right)\left(x-\left(\frac{1}{2}\sqrt{53}+\frac{7}{2}\right)\right)}{x}
Factor the expressions that are not already factored.
\left(x-\left(-\frac{1}{2}\sqrt{53}+\frac{7}{2}\right)\right)\left(x-\left(\frac{1}{2}\sqrt{53}+\frac{7}{2}\right)\right)
Cancel out x in both numerator and denominator.
x^{2}-7x-1
Expand the expression.
\frac{x\left(x-\left(-\frac{1}{2}\sqrt{53}+\frac{7}{2}\right)\right)\left(x-\left(\frac{1}{2}\sqrt{53}+\frac{7}{2}\right)\right)}{x}
Factor the expressions that are not already factored.
\left(x-\left(-\frac{1}{2}\sqrt{53}+\frac{7}{2}\right)\right)\left(x-\left(\frac{1}{2}\sqrt{53}+\frac{7}{2}\right)\right)
Cancel out x in both numerator and denominator.
x^{2}-7x-1
Expand the expression.
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