Question

factoring..
x^4+2x^2+1

Answer 1

Hint:
If you let x^2 = u, then you will have u^2 + 2u + 1

Answer 2

ok, i got that part. now it asks for me to find the zeros and their multiplicity.
i know the zeros are i and -i, how do i know their multiplicity?

Answer 3

@hero

Answer 4

u^2 + u + u + 1
u(u + 1) + 1(u+1)
(u+1)(u+1)
(u+1)^2

Replace u with x^2
(x^2 + 1)^2

Set (x^2 + 1)^2 = 0

Take square root of both sides:

x^2 + 1 = 0
x^2 = -1
x = + or - sqrt{-1}
x = + or - i

Okay