Find all of the zeros of the following polynomial and give them in a comma-separated list. If there are no zeros, enter None.

Question

Find all of the zeros of the following polynomial and give them in a comma-separated list. If there are no zeros, enter None.

P(x)=x⁴-2x²-8

it's zeros are:

Note: complex numbers should be in the form .

Answer 1

x^4 - 2x^2 - 8

= (x^2-4)(x^2+2)

x= 4 with multiplicity 2, and x= -2 with multiplicity 2

-2,-2,4, 4