What is factor 3x^3-2x^2-27x+18 ?

The solution to factor 3x^3-2x^2-27x+18 is (3x-2)(x+3)(x-3)

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factor 3x^3-2x^2-27x+18

factor

3 x^{3} - 2 x^{2} - 27 x + 18

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

Solution steps

3 x^{3} - 2 x^{2} - 27 x + 18

= (3 x^{3} - 2 x^{2}) + (- 27 x + 18)

Factor out

x^{2}

from

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

Factor out

- 9

from

- 27 x + 18 : - 9 (3 x - 2)

= x^{2} (3 x - 2) - 9 (3 x - 2)

Factor out common term

3 x - 2

= (3 x - 2) (x^{2} - 9)

Factor

x^{2} - 9 : (x + 3) (x - 3)

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

U (t)

lo g_{3} (3) + lo g_{3} (9)

\frac{5}{- 4 - 6}

(3 x) (5 x)

9 \cdot 17

What is factor 3x^3-2x^2-27x+18 ?
The solution to factor 3x^3-2x^2-27x+18 is (3x-2)(x+3)(x-3)