The degree of the polynomial is 2
How to determine the degrees?
The root of the polynomial is given as:
Root = x - 3i
The above expression is a complex root.
This means that the conjugate is also a root of the polynomial
So, we have
Roots = x - 3i and x + 3i
Multiply the roots
f(x) = (x - 3i)(x + 3i)
This gives
f(x) = x^2 + 9
The degree of the above equation is 2 i.e. the highest power
Hence, the degree of the polynomial is 2
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