Process for finding rational zeroes, Algebra

Process for Finding Rational Zeroes

1. Utilizes the rational root theorem to list all possible rational zeroes of the polynomial P ( x )

2. Evaluate the polynomial at the numbers from the first step till we determine a zero. Let's imagine the zero is x = r , then we will know that it's a zero since P ( r ) =0 .  Once it has been determined that it is actually a zero write the original polynomial as

                                            P ( x )= ( x - r ) Q ( x )

3. Repeat the procedure using Q ( x ) this time rather than P ( x ) . This repeating will continue till we attain a second degree polynomial.  At this instance we can directly solve this for the remaining zeroes.

To make simpler the second step we will utilizes synthetic division. This will very much simplify our life in various ways. First, remember again that the last number in the last row is the polynomial evaluated at r & if we do get a zero the remaining numbers in the last row are the coefficients for Q (x) and thus we won't ought to go back and determine that.

Also, in the evaluation step usually it is easiest to evaluate at the possible integer zeroes first and then go back and deal along with any fractions if we ought to.

Posted Date: 4/8/2013 2:58:12 AM | Location : United States

Related Discussions:- Process for finding rational zeroes, Assignment Help, Ask Question on Process for finding rational zeroes, Get Answer, Expert's Help, Process for finding rational zeroes Discussions

Write discussion on Process for finding rational zeroes
Your posts are moderated
Related Questions
We've some rather simply tests for each of the distinct types of symmetry. 1. A graph will have symmetry around the x-axis if we get an equal equation while all the y's are repl

1. Construct a truth table for the following Boolean expressions: a) ABC + A'B'C' b) ABC + AB'C' + A'B'C' c) A (BC' + B'C) 2.   Simplify the following expressions:

Example: We are investing $100,000 in an account that earns interest at a rate of 7.5% for 54 months.  Find out how much money will be in the account if, (a) Interest is comp

identify the sample and suggest a population from which it was selected. then classify the sample as sample, stratified, or systematic. explain your reasoning. 1} an insurance comp

how do you change this (x+2y=10) equation into "y" form ?