What is factor x^3-4x^2+5x-20 ?

The solution to factor x^3-4x^2+5x-20 is (x-4)(x^2+5)

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factor x^3-4x^2+5x-20

factor

x^{3} - 4 x^{2} + 5 x - 20

(x - 4) (x^{2} + 5)

Solution steps

x^{3} - 4 x^{2} + 5 x - 20

= (x^{3} - 4 x^{2}) + (5 x - 20)

Factor out

x^{2}

from

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

Factor out

5

from

5 x - 20 : 5 (x - 4)

= x^{2} (x - 4) + 5 (x - 4)

Factor out common term

x - 4

= (x - 4) (x^{2} + 5)

(- 2)^{- 4}

5 (3 x - 10) (x - 10) = 1435

45 + 25

\frac{x}{- 4} \geq - 1

\frac{x}{4} = \frac{3}{2}

What is factor x^3-4x^2+5x-20 ?
The solution to factor x^3-4x^2+5x-20 is (x-4)(x^2+5)