What is factor 6x^3-33x^2+45x-6 ?

The solution to factor 6x^3-33x^2+45x-6 is 3(x-2)(2x^2-7x+1)

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factor 6x^3-33x^2+45x-6

factor

6 x^{3} - 33 x^{2} + 45 x - 6

3 (x - 2) (2 x^{2} - 7 x + 1)

Solution steps

6 x^{3} - 33 x^{2} + 45 x - 6

Factor out common term

3 : 3 (2 x^{3} - 11 x^{2} + 15 x - 2)

= 3 (2 x^{3} - 11 x^{2} + 15 x - 2)

Factor

2 x^{3} - 11 x^{2} + 15 x - 2 : (x - 2) (2 x^{2} - 7 x + 1)

= 3 (x - 2) (2 x^{2} - 7 x + 1)

24 \cdot 6

x (2 x + 7)

\frac{x - 3}{x ^{2} - x - 6}

3^{2} \cdot 2^{3} \cdot 3^{3}

\frac{2 x ^{2} + 5 x + 3}{x ^{2} + 3 x + 2}

What is factor 6x^3-33x^2+45x-6 ?
The solution to factor 6x^3-33x^2+45x-6 is 3(x-2)(2x^2-7x+1)