# Shared Flashcard Set

## Details

2-Precalculus:Homework:3.4-3.5:Notes
2-Precalculus:Homework:3.4-3.5:Notes
9
Mathematics
03/07/2016

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
 a-bi--------
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), D-Ei?---------------------
Definition
 (Bx^3)(x-C)[((x-D)^2)+(E^2)]----------------------
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