Search All of the Math Forum:

Views expressed in these public forums are not endorsed by NCTM or The Math Forum.

Notice: We are no longer accepting new posts, but the forums will continue to be readable.

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

 Messages: [ Previous | Next ]
 Virgil Posts: 8,833 Registered: 1/6/11
Re: Solving rational polynomials
Posted: Aug 17, 2013 4:26 AM

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
--

Date Subject Author
8/16/13 Kobu
8/17/13 William Elliot
8/17/13 Kobu
8/17/13 Virgil
8/17/13 vrut25@gmail.com
8/21/13 Kobu
8/23/13 vrut25@gmail.com
8/17/13 William Elliot
8/17/13 William Elliot
8/17/13 grei
8/19/13 vrut25@gmail.com
8/21/13 Kobu
8/23/13 tommy1729_