What is factor x^3-5x^2+2x-10 ?

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

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factor x^3-5x^2+2x-10

factor

x^{3} - 5 x^{2} + 2 x - 10

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

Solution steps

x^{3} - 5 x^{2} + 2 x - 10

= (x^{3} - 5 x^{2}) + (2 x - 10)

Factor out

x^{2}

from

x^{3} - 5 x^{2} : x^{2} (x - 5)

Factor out

2

from

2 x - 10 : 2 (x - 5)

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

Factor out common term

x - 5

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

x^{2} - 2 x y + x - 2 y

b^{2} - 16 c^{2}

\frac{3}{5} \cdot 40

(12) \cdot (- 20)

- 405

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