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

Rational exponents, what is rational exponents and give some examples?

what is rational exponents and give some examples?

Find the volume, a box whose volumeis 80cubic cm has length,width,height in...

a box whose volumeis 80cubic cm has length,width,height in the ratio 1:2:5 if each of the length,width,height is increased by 2cm how many cubic centimeters will the volume be incr

Inaliz, i need help on the rate of change!!

i need help on the rate of change!!

???, What is the process to multiply rational expressions

What is the process to multiply rational expressions

Root, Find all the eighth roots of (19 + 7 i)

Find all the eighth roots of (19 + 7 i)

Alg 2.., Cassie has six bracelets. In how many different ways can she wear ...

Cassie has six bracelets. In how many different ways can she wear three bracelets at the same time..

Stock with this question , Based on past experience, a production process r...

Based on past experience, a production process requires 15 hours of direct labour and 2 assemblers for every $450 of raw materials. If the company has budgeted for $33,750 worth of

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