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May 9th, 2009, 09:16 AM   #1
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Polynomial Roots

Can the expression p(x) - q(x) = 0 have infinitely many roots where p(x) and q(x) are both polynomials?
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May 9th, 2009, 09:44 AM   #2
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Re: Polynomial Roots

is a polynomial of degree at most equal to the largest power of present in either or Call this polynomial So the expression is equivalent to Do you think there is any way this can this have infinite roots?
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May 9th, 2009, 09:52 AM   #3
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Re: Polynomial Roots

Quote:
Originally Posted by mattpi
is a polynomial of degree at most equal to the largest power of present in either or Call this polynomial So the expression is equivalent to Do you think there is any way this can this have infinite roots?
No, definitely not. It is given as an answer in a book I am studying. Maybe I should find another book. Thanks.
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May 9th, 2009, 10:03 AM   #4
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Re: Polynomial Roots

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Quote:
Originally Posted by mattpi
is a polynomial of degree at most equal to the largest power of present in either or Call this polynomial So the expression is equivalent to Do you think there is any way this can this have infinite roots?
No, definitely not. It is given as an answer in a book I am studying. Maybe I should find another book. Thanks.
What about if for all
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May 9th, 2009, 10:05 AM   #5
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Re: Polynomial Roots

Yep. Got it now, thanks. (I guess I'll keep reading the book).
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