Question

What are the roots of x^3 -5x^2 -25x +125 and what kind are they?

Answer 1

You could solve this by grouping:
\[\LARGE x^3-5x^2=x^2(x-5)\]
and
\[\LARGE -25x+125=-25(x-5)\]
Now just combine:
\[\LARGE (x^2-25)(x-5)\]
Factor again:
\[\LARGE (x-5)(x+5)(x-5)\]
Combine and get:
\[\LARGE (x-5)^2(x+5)\]

Answer 2

Both of them are real, and not complex, correct?

Answer 3

Yup, they're real solutions.

Answer 4

Thank you, very helpful explanation