What is factor 3x^3-7x^2-75x+175 ?

The solution to factor 3x^3-7x^2-75x+175 is (3x-7)(x+5)(x-5)

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factor 3x^3-7x^2-75x+175

factor

3 x^{3} - 7 x^{2} - 75 x + 175

(3 x - 7) (x + 5) (x - 5)

Solution steps

3 x^{3} - 7 x^{2} - 75 x + 175

= (3 x^{3} - 7 x^{2}) + (- 75 x + 175)

Factor out

x^{2}

from

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

Factor out

- 25

from

- 75 x + 175 : - 25 (3 x - 7)

= x^{2} (3 x - 7) - 25 (3 x - 7)

Factor out common term

3 x - 7

= (3 x - 7) (x^{2} - 25)

Factor

x^{2} - 25 : (x + 5) (x - 5)

= (3 x - 7) (x + 5) (x - 5)

\frac{24}{8}

x^{3} + 6 x^{2} + 7 x + 42

(\frac{5}{6})^{5}

6 + \frac{x}{- 7} < 8

What is factor 3x^3-7x^2-75x+175 ?
The solution to factor 3x^3-7x^2-75x+175 is (3x-7)(x+5)(x-5)