What is factor x^3+3x^2-6x-18 ?

The solution to factor x^3+3x^2-6x-18 is (x+3)(x^2-6)

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factor x^3+3x^2-6x-18

factor

x^{3} + 3 x^{2} - 6 x - 18

(x + 3) (x^{2} - 6)

Solution steps

x^{3} + 3 x^{2} - 6 x - 18

= (x^{3} + 3 x^{2}) + (- 6 x - 18)

Factor out

x^{2}

from

x^{3} + 3 x^{2} : x^{2} (x + 3)

Factor out

- 6

from

- 6 x - 18 : - 6 (x + 3)

= x^{2} (x + 3) - 6 (x + 3)

Factor out common term

x + 3

= (x + 3) (x^{2} - 6)

x^{5} + 5 x^{3} + 72

950

43 + 212

5 x^{2} - 21 x + 18

x^{4} + 4 x^{3} - 12 x^{2}

What is factor x^3+3x^2-6x-18 ?
The solution to factor x^3+3x^2-6x-18 is (x+3)(x^2-6)