What is factor x^3-8x^2+17x-10 ?

The solution to factor x^3-8x^2+17x-10 is (x-1)(x-2)(x-5)

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factor x^3-8x^2+17x-10

factor

x^{3} - 8 x^{2} + 17 x - 10

(x - 1) (x - 2) (x - 5)

Solution steps

x^{3} - 8 x^{2} + 17 x - 10

Use the rational root theorem

= (x - 1) \frac{x ^{3} - 8 x ^{2} + 17 x - 10}{x - 1}

\frac{x ^{3} - 8 x ^{2} + 17 x - 10}{x - 1} = x^{2} - 7 x + 10

= (x - 1) (x^{2} - 7 x + 10)

Factor

x^{2} - 7 x + 10 : (x - 2) (x - 5)

= (x - 1) (x - 2) (x - 5)

\frac{8}{3} - \frac{2}{3}

\frac{3 x ^{2} y}{6 x y}

(2 x - 7) (x - 1) = 0

0 = - \frac{4.8}{2} + 8.4 - 2 + x

2 \cdot 1 0^{- 4}

What is factor x^3-8x^2+17x-10 ?
The solution to factor x^3-8x^2+17x-10 is (x-1)(x-2)(x-5)