What is factor 2x^3-3x^2-17x+30 ?

The solution to factor 2x^3-3x^2-17x+30 is (x-2)(2x-5)(x+3)

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factor 2x^3-3x^2-17x+30

factor

2 x^{3} - 3 x^{2} - 17 x + 30

(x - 2) (2 x - 5) (x + 3)

Solution steps

2 x^{3} - 3 x^{2} - 17 x + 30

Use the rational root theorem

= (x - 2) \frac{2 x ^{3} - 3 x ^{2} - 17 x + 30}{x - 2}

\frac{2 x ^{3} - 3 x ^{2} - 17 x + 30}{x - 2} = 2 x^{2} + x - 15

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

Factor

2 x^{2} + x - 15 : (2 x - 5) (x + 3)

= (x - 2) (2 x - 5) (x + 3)

(u - 1)^{3}

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

3 - \frac{3}{3}

\frac{3}{2} \cdot (- 1)

\frac{2}{5} \times 5

What is factor 2x^3-3x^2-17x+30 ?
The solution to factor 2x^3-3x^2-17x+30 is (x-2)(2x-5)(x+3)