What is factor x^3-7x^2-15x+105 ?

The solution to factor x^3-7x^2-15x+105 is (x-7)(x^2-15)

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factor x^3-7x^2-15x+105

factor

x^{3} - 7 x^{2} - 15 x + 105

(x - 7) (x^{2} - 15)

Solution steps

x^{3} - 7 x^{2} - 15 x + 105

= (x^{3} - 7 x^{2}) + (- 15 x + 105)

Factor out

x^{2}

from

x^{3} - 7 x^{2} : x^{2} (x - 7)

Factor out

- 15

from

- 15 x + 105 : - 15 (x - 7)

= x^{2} (x - 7) - 15 (x - 7)

Factor out common term

x - 7

= (x - 7) (x^{2} - 15)

- 2 + 8 i

- 2 - 4 i

- 2 - 15

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

What is factor x^3-7x^2-15x+105 ?
The solution to factor x^3-7x^2-15x+105 is (x-7)(x^2-15)