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#1 2009-01-21 07:32:29

LuisRodg
Real Member
Registered: 2007-10-23
Posts: 322

Proof about the complex roots of a polynomial.

Could anyone offer some help?

Thanks.

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#2 2009-01-21 07:46:08

Daniel123
Member
Registered: 2007-05-23
Posts: 663

Re: Proof about the complex roots of a polynomial.

We have that

I'm not sure, but can you not just say that because all the coefficients are real,

?

Which means

, and so if z is a root then so is z_c.

Last edited by Daniel123 (2009-01-21 07:51:35)

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#3 2009-01-21 09:06:46

LuisRodg
Real Member
Registered: 2007-10-23
Posts: 322

Re: Proof about the complex roots of a polynomial.

Ah yes. How could I have missed that? Simple proof.

Thanks Daniel!

smile

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#4 2009-01-21 09:22:29

Daniel123
Member
Registered: 2007-05-23
Posts: 663

Re: Proof about the complex roots of a polynomial.

No problem smile

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