What is factor 2x^3-25x^2+53x-30 ?

The solution to factor 2x^3-25x^2+53x-30 is (x-1)(2x-3)(x-10)

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factor 2x^3-25x^2+53x-30

factor

2 x^{3} - 25 x^{2} + 53 x - 30

(x - 1) (2 x - 3) (x - 10)

Solution steps

2 x^{3} - 25 x^{2} + 53 x - 30

Use the rational root theorem

= (x - 1) \frac{2 x ^{3} - 25 x ^{2} + 53 x - 30}{x - 1}

\frac{2 x ^{3} - 25 x ^{2} + 53 x - 30}{x - 1} = 2 x^{2} - 23 x + 30

= (x - 1) (2 x^{2} - 23 x + 30)

Factor

2 x^{2} - 23 x + 30 : (2 x - 3) (x - 10)

= (x - 1) (2 x - 3) (x - 10)

48 x

\frac{2 x ^{2} + x}{2 x - 2} + \frac{x - 4}{2 x - 2}

\frac{1}{2} \times \frac{5}{6}

\frac{1}{2} \times \frac{5}{3}

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

What is factor 2x^3-25x^2+53x-30 ?
The solution to factor 2x^3-25x^2+53x-30 is (x-1)(2x-3)(x-10)