What is factor x^3-3x^2-4x+12 ?

The solution to factor x^3-3x^2-4x+12 is (x-3)(x+2)(x-2)

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factor x^3-3x^2-4x+12

factor

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

(x - 3) (x + 2) (x - 2)

Solution steps

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

= (x^{3} - 3 x^{2}) + (- 4 x + 12)

Factor out

x^{2}

from

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

Factor out

- 4

from

- 4 x + 12 : - 4 (x - 3)

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

Factor out common term

x - 3

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

Factor

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

= (x - 3) (x + 2) (x - 2)

- x^{2} + 2 x + 24

(x - 5)^{2} - 16 = 0

2^{21}

(2 - 3 i) + (7 - 4 i)

What is factor x^3-3x^2-4x+12 ?
The solution to factor x^3-3x^2-4x+12 is (x-3)(x+2)(x-2)