SOLUTION: if i have a quintic function with two real zeros i know that one real zero has a multiplicy of 2 does that mean the other real zero has to have a multiplicty of three,if so how man

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Question 44543: if i have a quintic function with two real zeros i know that one real zero has a multiplicy of 2 does that mean the other real zero has to have a multiplicty of three,if so how man imaginary zeros should i get? the same for a cubic if i have one real zero what is the multiplicty of it?
Answer by stanbon(75887) About Me  (Show Source):
You can put this solution on YOUR website!
if i have a quintic function with two real zeros i know that one real zero has a multiplicy of 2 does that mean the other real zero has to have a multiplicty of three?
No, it doesn't tell you anything about the other three zeroes.
How many imaginary zeros should i get? If you get one complex zero and
if the coefficients of the polynomial are all real then you will have
another complex zero called the conjugate of the 1st. That's about all
you know.
The same for a cubic; if i have one real zero what is the multiplicty of it?
Can't tell.
Cheers,
Stan H>