What is factor x^3-11x^2+43x-65 ?

The solution to factor x^3-11x^2+43x-65 is (x-5)(x^2-6x+13)

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factor x^3-11x^2+43x-65

factor

x^{3} - 11 x^{2} + 43 x - 65

(x - 5) (x^{2} - 6 x + 13)

Solution steps

x^{3} - 11 x^{2} + 43 x - 65

Use the rational root theorem

= (x - 5) \frac{x ^{3} - 11 x ^{2} + 43 x - 65}{x - 5}

\frac{x ^{3} - 11 x ^{2} + 43 x - 65}{x - 5} = x^{2} - 6 x + 13

= (x - 5) (x^{2} - 6 x + 13)

b \cdot 2 = \frac{b}{2}

40 x^{2} - 17 x - 12

x^{2} - 8 x + 16

c^{2} - 18 c + 81

(5 y + 2) (y - 3) = - 12 (2 + y)

What is factor x^3-11x^2+43x-65 ?
The solution to factor x^3-11x^2+43x-65 is (x-5)(x^2-6x+13)