What is factor 2x^3-9x^2+13x-6 ?

The solution to factor 2x^3-9x^2+13x-6 is (x-1)(2x-3)(x-2)

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factor 2x^3-9x^2+13x-6

factor

2 x^{3} - 9 x^{2} + 13 x - 6

(x - 1) (2 x - 3) (x - 2)

Solution steps

2 x^{3} - 9 x^{2} + 13 x - 6

Use the rational root theorem

= (x - 1) \frac{2 x ^{3} - 9 x ^{2} + 13 x - 6}{x - 1}

\frac{2 x ^{3} - 9 x ^{2} + 13 x - 6}{x - 1} = 2 x^{2} - 7 x + 6

= (x - 1) (2 x^{2} - 7 x + 6)

Factor

2 x^{2} - 7 x + 6 : (2 x - 3) (x - 2)

= (x - 1) (2 x - 3) (x - 2)

2 x (3 x + 1) (x - 4)

2 x^{2} - 2 y + 4 x y - x

x^{2} y^{2} + x^{2} y

2 y^{3} + y^{2} - 2 y - 1

64 a^{6} - b^{6}

What is factor 2x^3-9x^2+13x-6 ?
The solution to factor 2x^3-9x^2+13x-6 is (x-1)(2x-3)(x-2)