Question

find all possible factor of x^3+3x-25x-75

Answer 1

x³ + 3 x² - 25 x  - 75

this particular example seems to be simple  in the way that...  by examining the coefficients, we find that    1,  -25  and  3 , -75 are in the same  proportion/ratio.

x³ - 25 x  + 3 x² - 75
x (x² - 25)  + 3 (x² - 25)
(x + 3) (x² - 25)

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

these are the factors..