What is factor x^3-6x^2+61x-106 ?

The solution to factor x^3-6x^2+61x-106 is (x-2)(x^2-4x+53)

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factor x^3-6x^2+61x-106

factor

x^{3} - 6 x^{2} + 61 x - 106

(x - 2) (x^{2} - 4 x + 53)

Solution steps

x^{3} - 6 x^{2} + 61 x - 106

Use the rational root theorem

= (x - 2) \frac{x ^{3} - 6 x ^{2} + 61 x - 106}{x - 2}

\frac{x ^{3} - 6 x ^{2} + 61 x - 106}{x - 2} = x^{2} - 4 x + 53

= (x - 2) (x^{2} - 4 x + 53)

\frac{1}{16} + \frac{1}{2}

8 x^{2} + 2 x

x^{33}

\frac{( - 45 )}{5} - \frac{25}{( - 5 )}

What is factor x^3-6x^2+61x-106 ?
The solution to factor x^3-6x^2+61x-106 is (x-2)(x^2-4x+53)