Evaluate
x^{5}-2x^{4}-7x^{3}+13x^{2}+11x-20
Expand
x^{5}-2x^{4}-7x^{3}+13x^{2}+11x-20
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\frac{\left(x-\left(-\frac{1}{2}\sqrt{17}+\frac{1}{2}\right)\right)\left(x-\left(\frac{1}{2}\sqrt{17}+\frac{1}{2}\right)\right)\left(x^{3}-x^{2}-4x+5\right)\left(x^{4}-2x^{3}-3x^{2}+13x-10\right)}{x^{4}-2x^{3}-3x^{2}+13x-10}
Factor the expressions that are not already factored.
\left(x-\left(-\frac{1}{2}\sqrt{17}+\frac{1}{2}\right)\right)\left(x-\left(\frac{1}{2}\sqrt{17}+\frac{1}{2}\right)\right)\left(x^{3}-x^{2}-4x+5\right)
Cancel out x^{4}-2x^{3}-3x^{2}+13x-10 in both numerator and denominator.
x^{5}-2x^{4}-7x^{3}+13x^{2}+11x-20
Expand the expression.
\frac{\left(x-\left(-\frac{1}{2}\sqrt{17}+\frac{1}{2}\right)\right)\left(x-\left(\frac{1}{2}\sqrt{17}+\frac{1}{2}\right)\right)\left(x^{3}-x^{2}-4x+5\right)\left(x^{4}-2x^{3}-3x^{2}+13x-10\right)}{x^{4}-2x^{3}-3x^{2}+13x-10}
Factor the expressions that are not already factored.
\left(x-\left(-\frac{1}{2}\sqrt{17}+\frac{1}{2}\right)\right)\left(x-\left(\frac{1}{2}\sqrt{17}+\frac{1}{2}\right)\right)\left(x^{3}-x^{2}-4x+5\right)
Cancel out x^{4}-2x^{3}-3x^{2}+13x-10 in both numerator and denominator.
x^{5}-2x^{4}-7x^{3}+13x^{2}+11x-20
Expand the expression.
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