Factor
\left(x-1\right)\left(x^{3}-2x^{2}-7x-7\right)
Evaluate
x^{4}-3x^{3}-5x^{2}+7
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\left(x-1\right)\left(x^{3}-2x^{2}-7x-7\right)
By Rational Root Theorem, all rational roots of a polynomial are in the form \frac{p}{q}, where p divides the constant term 7 and q divides the leading coefficient 1. One such root is 1. Factor the polynomial by dividing it by x-1. Polynomial x^{3}-2x^{2}-7x-7 is not factored since it does not have any rational roots.
Examples
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{ x } ^ { 2 } - 4 x - 5 = 0
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Linear equation
y = 3x + 4
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Matrix
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Simultaneous equation
\left. \begin{cases} { 8x+2y = 46 } \\ { 7x+3y = 47 } \end{cases} \right.
Differentiation
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Integration
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Limits
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