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..
