Question

Find all the zeroes of each equation. x^3 – x^2 + 5x – 5 = 0

Answer 1

Someone please help, how do I do this?

Answer 2

the sum of all coefficients be 0 (1-1+5-5=0)
it means x=1 is the root or (x-1) is one of the factor that polynomial
find the other factor by using synthetic division, then for zeroes take all factors be 0 and solve for x

Answer 3

So I got x^2+5 When I used synthetic division. What now?

Answer 4

equate it to zero and use the quadratic formula.

Answer 5

Oh wait so if I have x^2+5=0 then x=i sqrt 5? That's one of my answers?

Answer 6

These Are the possible answers btw