Question

Determine how many, what type, and find the roots for f(x) = x3 − 5x2 − 25x + 125.

Answer 1

it is a cubic polynomial and has three roots.
f(x)=0 ,gives
\[x^3-5x^2-25x+125=0\]
\[x^2(x-5)-25(x-5)=0\]
\[(x-5)(x^2-25)=0\]
\[(x-5)(x+5)(x-5)=0\]
x=?