how to do decartes principle and remainder theorm?

Question

i really need help with these. if possible explain it terms that relatively make sense.. thanks

Answer 1

The only Descartes Principles I've heard of are philosophical, not mathematical:
http://www.philosophy.leeds.ac.uk/GMR/hmp/texts/modern/descartes/principles/dcprinc.html

Are you sure you aren't thinking of Descartes' rule of signs?
http://en.wikipedia.org/wiki/Descartes%27_rule_of_signs

As for the Remainder Theorem:
http://en.wikipedia.org/wiki/Remainder_theorem

You might also want to look at:
http://en.wikipedia.org/wiki/Polynomial_function_theorems_for_zeros