Form a polynomial f(x) with real coefficient with the given degree and zeros. Degree:3 Zeros;-2+5i; -5 multiply 2

Question

anonymous · Answer

does it really say $-5$ with multiplicity 2?

anonymous · Answer

if so there is no way this is going to be a polynomial of degree 3, it will have degree 4

anonymous · Answer

one factor will be $$(x+5)^2$$ which will make $-5$ a zero with multiplicity 2
the other factor will be a quadratic polynomial with zeros $-2+5i$ and $-2-5i$

anonymous · Answer

i can show you how to find the quadratic if you like , but you will end up with a fourth degree polynomial

anonymous · Answer

Yes it says -5

anonymous · Answer

maybe its 
$$(x+5^2)$$ ??

anonymous · Answer

,y apologies the degree is 4