What is factor 3x^3-25x^2+58x-40 ?

The solution to factor 3x^3-25x^2+58x-40 is (x-2)(3x-4)(x-5)

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factor 3x^3-25x^2+58x-40

factor

3 x^{3} - 25 x^{2} + 58 x - 40

(x - 2) (3 x - 4) (x - 5)

Solution steps

3 x^{3} - 25 x^{2} + 58 x - 40

Use the rational root theorem

= (x - 2) \frac{3 x ^{3} - 25 x ^{2} + 58 x - 40}{x - 2}

\frac{3 x ^{3} - 25 x ^{2} + 58 x - 40}{x - 2} = 3 x^{2} - 19 x + 20

= (x - 2) (3 x^{2} - 19 x + 20)

Factor

3 x^{2} - 19 x + 20 : (3 x - 4) (x - 5)

= (x - 2) (3 x - 4) (x - 5)

\frac{7}{53}

\frac{1}{4} \times (- 1)

\frac{1}{4} \times 24

33 + 312

\frac{4}{21} \cdot \frac{7}{6}

What is factor 3x^3-25x^2+58x-40 ?
The solution to factor 3x^3-25x^2+58x-40 is (x-2)(3x-4)(x-5)