What is factor 6x^3-9x^2+4x-6 ?

The solution to factor 6x^3-9x^2+4x-6 is (2x-3)(3x^2+2)

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factor 6x^3-9x^2+4x-6

factor

6 x^{3} - 9 x^{2} + 4 x - 6

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

Solution steps

6 x^{3} - 9 x^{2} + 4 x - 6

= (6 x^{3} - 9 x^{2}) + (4 x - 6)

Factor out

3 x^{2}

from

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

Factor out

2

from

4 x - 6 : 2 (2 x - 3)

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

Factor out common term

2 x - 3

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

1 \times 1 0^{5}

4 x - 3 x - 2 x

144 + - 98 - 121 + - 2

(\frac{2}{2})^{2} + (\frac{2}{2})^{2}

(3 x - 1) (x - 3)

What is factor 6x^3-9x^2+4x-6 ?
The solution to factor 6x^3-9x^2+4x-6 is (2x-3)(3x^2+2)