What is factor x^3-4x^2+25x-100 ?

The solution to factor x^3-4x^2+25x-100 is (x-4)(x^2+25)

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factor x^3-4x^2+25x-100

factor

x^{3} - 4 x^{2} + 25 x - 100

(x - 4) (x^{2} + 25)

Solution steps

x^{3} - 4 x^{2} + 25 x - 100

= (x^{3} - 4 x^{2}) + (25 x - 100)

Factor out

x^{2}

from

x^{3} - 4 x^{2} : x^{2} (x - 4)

Factor out

25

from

25 x - 100 : 25 (x - 4)

= x^{2} (x - 4) + 25 (x - 4)

Factor out common term

x - 4

= (x - 4) (x^{2} + 25)

\frac{2}{5} + 1

6 x^{2} - 25 x - 25 = 0

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

x^{3} - 6 x^{2} + 32

\frac{12 !}{5 !}

What is factor x^3-4x^2+25x-100 ?
The solution to factor x^3-4x^2+25x-100 is (x-4)(x^2+25)