Multiplicity of the zero, Algebra

Assignment Help:

The given fact will relate all of these ideas to the multiplicity of the zero.

Fact

If x = r is a zero of the polynomial P (x) along with multiplicity k then,

1.   If the value of k is odd then the x-intercept corresponding to x = r will cross the x-axis

2.   If value to k is even then the x-intercept corresponding to x = r will just touch the x-axis and not cross it actually.

Furthermore, if k = 1 then the graph will flatten out at the point x = r .

At last, notice that as we consider x get large in both the +ve or -ve sense (that means at either end of the graph) then the graph will either increase with no bound or decrease without bound. It will always occur with every polynomial and we can employ the following test to find out just what will happen at the endpoints of the graph.


Related Discussions:- Multiplicity of the zero

Help, can you help and is it free?

can you help and is it free?

Example of rational inequalities, Solve (3x+ 1/ x + 4 ) ≥ 1. Solution ...

Solve (3x+ 1/ x + 4 ) ≥ 1. Solution The first thing that we have to do here is subtract 1 from both of sides and then get everything in a single rational expression.  (3

Grade 8, what is 3.16 x 10^3= ?

what is 3.16 x 10^3= ?

FACTORING WITH TRAIL AND ERROR, you can use the equation -b +or- Square ro...

you can use the equation -b +or- Square root of bsquared - 4(a)(c)over 2a. But if you number for b is b is negative it will become positive??? And if the number was + it will Beco

Example of method of elimination, Example    Solve each of the following sy...

Example    Solve each of the following systems of equations.              5x + 4 y = 1              3x - 6 y = 2 Solution It is the system in the previous examples wh

Mixing problems, It is the final type of problems which we'll be looking at...

It is the final type of problems which we'll be looking at in this section.  We are going to be looking at mixing solutions of distinct percentages to obtain a new percentage. The

cramer''s rule, Solve the following simultaneous equations by using Cramer...

Solve the following simultaneous equations by using Cramer's rule                      3x+2y=13                      2x-y=4

Word problem, Ninety passenger rode in a train from city a to city b. Ticke...

Ninety passenger rode in a train from city a to city b. Tickets for regular coach seats cost $116. Tickets for sleeper cars seat cost $286. The receipts for the trip totaled $18,09

Write Your Message!

Captcha
Free Assignment Quote

Assured A++ Grade

Get guaranteed satisfaction & time on delivery in every assignment order you paid with us! We ensure premium quality solution document along with free turntin report!

All rights reserved! Copyrights ©2019-2020 ExpertsMind IT Educational Pvt Ltd