Factor
\left(x-1\right)\left(x^{2}-5x+8\right)
Evaluate
\left(x-1\right)\left(x^{2}-5x+8\right)
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x^{3}-6x^{2}+13x-8
Multiply and combine like terms.
\left(x-1\right)\left(x^{2}-5x+8\right)
By Rational Root Theorem, all rational roots of a polynomial are in the form \frac{p}{q}, where p divides the constant term -8 and q divides the leading coefficient 1. One such root is 1. Factor the polynomial by dividing it by x-1. Polynomial x^{2}-5x+8 is not factored since it does not have any rational roots.
x^{3}-6x^{2}+13x-8
Combine 12x and x to get 13x.
Examples
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Matrix
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Simultaneous equation
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Differentiation
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Integration
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Limits
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