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Mathematics
OpenStudy (darkbluechocobo):

Help determining the most possible complex zeros of a function please

OpenStudy (darkbluechocobo):

3x^4 + 6x^14 − 7x^15 + 13x

OpenStudy (math&ing001):

The complex zeros always come in pairs, meaning you can have 0, 2, 4, ... of complex zeros. In other words, it'll be an even number below the degree of you polynomial.

OpenStudy (darkbluechocobo):

do you use the highest polynomial?

OpenStudy (math&ing001):

The degree of a polynomial is the highest degree of its terms so yes. For example the degree of your polynomial is 15, so there will be 14 complex zeros at most.

OpenStudy (darkbluechocobo):

Hokay thank you that really helped me out

OpenStudy (math&ing001):

No probs !

OpenStudy (darkbluechocobo):

question so if you have 4? you would have 0 complex zeros @math&ing001

OpenStudy (math&ing001):

You mean degree 4 ?

OpenStudy (darkbluechocobo):

well just 4 as a number alone

OpenStudy (math&ing001):

Oh, yes of course !

OpenStudy (darkbluechocobo):

because doesn't it already have a 4^1 you just don't write it like that?

OpenStudy (math&ing001):

The polynomial 4 has a degree 0, it's written like this 4x^0.

OpenStudy (darkbluechocobo):

Oks Thank you for explaining that

OpenStudy (math&ing001):

Anytime, have fun !

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