form a polynomial f(x) with real coefficients having the given degree and zeros

degree 4 zeros 5+3i;3 multiplicity 2

enter the polynomial
f(x)=a?()

1 answer

see my reply to your other question above

for a zero of 3 with multiplicity of 2
we would have (x-3)(x-3) or (x-3)^2 as part of the function.
For the complex root of 5+3i , there is of course a matching 5-3i root

once you have that , it is simple algebra