Reply
Sun 21 Mar, 2004 10:16 pm
Edit: Moderator: Moved from Reference to Science and Mathematics
is it possible for a polynomial function to have no real zeros? explain.
An n-th polynomial with real (or complex) coefficients has n complex zeros. If limited to reals it may not have a zero, for example,
p(x)= x^2 +1
does not have a real zero.
A real polynomial with even powers of x and a nonzero constant has no real zeros.
Not necessarily Relative. Negative coefficients and/or a negative constant can result in real zeros.
e.g. x^2 - 1
x^2 + 1 = 0, for example, has roots i and -i.
In general, the product of (x-C1)(x-C2)...(x-Cn) will have no real zeros if C1 through Cn are not real.
That's by definition, because the zeros are C1, C2, ..., Cn.
markr wrote:That's by definition, because the zeros are C1, C2, ..., Cn.
Yes, and it also answers the question that started the thread.
Stumble It!
Tweet This
Bookmark on Delicious
Share on Facebook
Share on MySpace