What is factor 3x^3-4x^2+9x-12 ?

The solution to factor 3x^3-4x^2+9x-12 is (3x-4)(x^2+3)

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factor 3x^3-4x^2+9x-12

factor

3 x^{3} - 4 x^{2} + 9 x - 12

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

Solution steps

3 x^{3} - 4 x^{2} + 9 x - 12

= (3 x^{3} - 4 x^{2}) + (9 x - 12)

Factor out

x^{2}

from

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

Factor out

3

from

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

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

Factor out common term

3 x - 4

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

3 \cdot (- \frac{1}{3})

12 \times 5

\frac{18}{5} \div \frac{6}{7}

\frac{1}{2} \times \frac{2}{2}

What is factor 3x^3-4x^2+9x-12 ?
The solution to factor 3x^3-4x^2+9x-12 is (3x-4)(x^2+3)