Question

Given that $x-\sqrt{5}$ is a factor of the cubic polynomial $x^3-3\sqrt{5}{x}^2+13x-3\sqrt{5}$ find all the zeroes of the polynomial.

Answer 1

is a factor of

So, let's divide:

) (

-___+_____


+_______-_____


-___+_____
0 0

So,
= ()()

Now,

x= ,