What is factor x^4-6x^3-11x^2+96x-80 ?

The solution to factor x^4-6x^3-11x^2+96x-80 is (x-1)(x-5)(x+4)(x-4)

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factor x^4-6x^3-11x^2+96x-80

factor

x^{4} - 6 x^{3} - 11 x^{2} + 96 x - 80

(x - 1) (x - 5) (x + 4) (x - 4)

Solution steps

x^{4} - 6 x^{3} - 11 x^{2} + 96 x - 80

Use the rational root theorem

= (x - 1) \frac{x ^{4} - 6 x ^{3} - 11 x ^{2} + 96 x - 80}{x - 1}

\frac{x ^{4} - 6 x ^{3} - 11 x ^{2} + 96 x - 80}{x - 1} = x^{3} - 5 x^{2} - 16 x + 80

= (x - 1) (x^{3} - 5 x^{2} - 16 x + 80)

Factor

x^{3} - 5 x^{2} - 16 x + 80 : (x - 5) (x + 4) (x - 4)

= (x - 1) (x - 5) (x + 4) (x - 4)

(3 + 22 + 3 - 22)^{2}

1 0^{0.25}

\frac{1}{30}

\frac{30 k ^{2} + 6 k}{5 k + k}

What is factor x^4-6x^3-11x^2+96x-80 ?
The solution to factor x^4-6x^3-11x^2+96x-80 is (x-1)(x-5)(x+4)(x-4)