What is factor 2x^3-3x^2-5x+6 ?

The solution to factor 2x^3-3x^2-5x+6 is (x-1)(2x+3)(x-2)

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factor 2x^3-3x^2-5x+6

factor

2 x^{3} - 3 x^{2} - 5 x + 6

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

Solution steps

2 x^{3} - 3 x^{2} - 5 x + 6

Use the rational root theorem

= (x - 1) \frac{2 x ^{3} - 3 x ^{2} - 5 x + 6}{x - 1}

\frac{2 x ^{3} - 3 x ^{2} - 5 x + 6}{x - 1} = 2 x^{2} - x - 6

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

Factor

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

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

6 x (x - 1) = 1 - 7 x

x^{2} + 2 = x + 4

3 (\frac{1 + i}{1 - i})^{2} - 2 (\frac{1 - i}{1 + i})^{3}

1 + \frac{5}{2}

What is factor 2x^3-3x^2-5x+6 ?
The solution to factor 2x^3-3x^2-5x+6 is (x-1)(2x+3)(x-2)