Term
If p/q is a rational zero of P(x), then what doe p/q equal?  

Definition
((Possible factors of asubscrpt0)/(Possible factors of asubscrptn))  


Term
What are the potential zeroes of a polynomial function?  

Definition
Factors of the Constant Term Divided By Constants of the Leading Coefficient  


Term
How do you find out if a possible zero is actually a rational zero?  

Definition
Complete synthetic division and if you get zero as a remainder, it is a rational zero.  


Term
How do you find all the roots for the function f(x)=0?  

Definition
1.) Factor out (x(Opposite Sign of rational zero)rational zero) [This is easily done by using synthetic division with the rational zero]  2.)Now use the quadratic formula to find the roots of f(x)=0. [Unless it still hasn't formed a quadratic function meaning you must test another rational zero using synthetic division, except you now apply it to the new function, then using quadratic formula find the roots of f(x)=0.]  3.)Your solution set: (rational zeroes, the roots of (fx)=0)  


Term
How do you find the number of positive real roots?  

Definition
Number of sign changes in f(x) or that number subtracted by an even integer.  


Term
How do you find the number of negative real roots?  

Definition
Number of sign changes in f(x) or that number subtracted by an even integer.  


Term
If the degree of a polynomial is greater than or equal to one, how many not necessarily distinct zeroes are there?  

Definition
Equal to that of the degree  


Term
If a polynomial needs another zero, and one of its zeroes is a+bi, then what must the other zero be, based on the conjugate pairs theorem?  

Definition


Term
How do you find a polynomial P(x) with real coefficient having a degree "A", leading coefficient "B", and zeros "C", 0 (multiplicity 3), DEi?  

Definition
(Bx^3)(xC)[((xD)^2)+(E^2)]  

