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Topic: easiest way to solve rational polynomial inequality p(x)/q(x) > 0 is
by solving p(x)q(x) > 0

Replies: 12   Last Post: Aug 23, 2013 4:22 PM

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Registered: 1/6/11
Re: Solving rational polynomials
Posted: Aug 17, 2013 4:26 AM
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In article <0388f571-326f-437f-990f-b3000253e952@googlegroups.com>,
Kobu <kobu.selva@gmail.com> wrote:

> Thm: Let p and q be functions. Then,
> p(x)/q(x) > 0 iff p(x)*q(x) > 0

Not quite, since when q(x) = 0,
p(x)/q(x) is not defined whereas
whereas p(x)*q(x) is defined and zero, so
"p(x)/q(x) > 0" is indeterminate but
"p(x)*q(x) > 0" is false

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