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July 5th, 2013, 11:14 AM  #31  
Math Team Joined: Mar 2012 From: India, West Bengal Posts: 3,871 Thanks: 86 Math Focus: Number Theory  Re: Algebra/Polynomials Quote:
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July 5th, 2013, 09:17 PM  #32 
Senior Member Joined: Apr 2013 Posts: 425 Thanks: 24  Re: Algebra/Polynomials
Hello,[color=#00BF00]mathbalarka[/color] If a polynomial equation of degree has only complex root then how many real roots does that equation?Quote:"The theorem (in this case the fundamental theorem of algebra) is also stated as follows: every nonzero, singlevariable, degree n polynomial with complex coefficients has, counted with multiplicity, exactly roots.". Wait and other opinions. Thank You! 
July 5th, 2013, 09:28 PM  #33  
Math Team Joined: Mar 2012 From: India, West Bengal Posts: 3,871 Thanks: 86 Math Focus: Number Theory  Re: Algebra/Polynomials Quote:
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July 5th, 2013, 09:34 PM  #34 
Senior Member Joined: Apr 2013 Posts: 425 Thanks: 24  Re: Algebra/Polynomials
[color=#00BF00]mathbalarka[/color], I have proposed a solution to the problem of [color=#0000FF]Crazyhorse2882[/color].... If a polynomial equation of degree and has only complex root then how many real roots does that equation?Responding to clear! Thank You! 
July 5th, 2013, 09:41 PM  #35  
Math Team Joined: Mar 2012 From: India, West Bengal Posts: 3,871 Thanks: 86 Math Focus: Number Theory  Re: Algebra/Polynomials Quote:
PS : You haven't answered to my questions yet, so I repeat : May I assume all your claims are false and your version of FTA is incorrect?  
July 5th, 2013, 09:45 PM  #36  
Math Team Joined: Mar 2012 From: India, West Bengal Posts: 3,871 Thanks: 86 Math Focus: Number Theory  Re: Algebra/Polynomials Quote:
I have already answered that there exists no such polynomial over R[x], but if it is in C[x], there are at most n  1 real roots but that could get smaller, so it is not exactly determinable I'd say.  
July 5th, 2013, 09:55 PM  #37  
Senior Member Joined: Apr 2013 Posts: 425 Thanks: 24  Re: Algebra/Polynomials Quote:
 I repeat: If a polynomial equation of degree and has only complex root then how many real roots does that equation?Responding to clear!  You have complicated things with that ......  
July 5th, 2013, 10:09 PM  #38  
Math Team Joined: Mar 2012 From: India, West Bengal Posts: 3,871 Thanks: 86 Math Focus: Number Theory  Re: Algebra/Polynomials Quote:
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