Find all of the zeros of the polynomial function and state the multiplicity of each.

Question

f (x) = (x^2 – 16)^2

A. – 4 with multiplicity 2 and 4 with multiplicity 2

B. – 4i with multiplicity 2 and 4i with multiplicity 2

C. 4 with multiplicity 2

D. 4 with multiplicity 4

I think the answer is A, any thoughts?

Answer 1

look at it this way...

f(x) = (x^2 – 16)^2
= (x^2 - 16)(x^# - 16)
= (x+4)(x-4)(x+4)(x-4)

the answer should be obvious, trust yourself !

Answer 2

I wasn't sure but it is A then?

Answer 3

yes,
how about that confidence thing ?

Answer 4

Not too good with math, actually i am no good at it.