What is factor x^4-19x^3+135x^2-425x+500 ?

The solution to factor x^4-19x^3+135x^2-425x+500 is (x-4)(x-5)^3

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factor x^4-19x^3+135x^2-425x+500

factor

x^{4} - 19 x^{3} + 135 x^{2} - 425 x + 500

(x - 4) (x - 5)^{3}

Solution steps

x^{4} - 19 x^{3} + 135 x^{2} - 425 x + 500

Use the rational root theorem

= (x - 4) \frac{x ^{4} - 19 x ^{3} + 135 x ^{2} - 425 x + 500}{x - 4}

\frac{x ^{4} - 19 x ^{3} + 135 x ^{2} - 425 x + 500}{x - 4} = x^{3} - 15 x^{2} + 75 x - 125

= (x - 4) (x^{3} - 15 x^{2} + 75 x - 125)

Factor

x^{3} - 15 x^{2} + 75 x - 125 : (x - 5)^{3}

= (x - 4) (x - 5)^{3}

4 x^{2} = 2 x - 3

2 x^{3} - x^{2} - 2 x + 1

e^{3 πi}

\frac{1}{2 ^{- 1}}

25 b^{2} - 9

What is factor x^4-19x^3+135x^2-425x+500 ?
The solution to factor x^4-19x^3+135x^2-425x+500 is (x-4)(x-5)^3