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

6^{2} \times 6^{3}

\frac{5}{12} + \frac{1}{12}

\frac{4 x ^{8} y ^{8}}{10 x ^{4} y ^{6}}

\frac{7 x ^{7} y ^{5}}{21 x ^{6} y ^{4}}

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)