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Question

Mathematics Question on complex numbers

If f(z)=zn+an-1zn-1 +......+a1zn+a0 ∈ R[z] is a polynomial in z with no root over R,then deg(f)is

A

9

B

always≤4

C

an odd number

D

always≥4

E

an even number

Answer

an even number

Explanation

Solution

The correct option is (E): an even number