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

Distance problems, robin runs 5 kilometers around the campus in the same le...

robin runs 5 kilometers around the campus in the same length of time as he can walk 3 kilometers from his house to school. If he runs 4 kilometers per hour faster than he walks, ho

Convert following into the function, Convert following into the form    ...

Convert following into the form                                        f (x ) = a ( x - h ) 2  + k Solution We are going to complete the square here.  Though, it is a s

Exponential and logarithmic functions, use M(t)434e^-.08t to find the appro...

use M(t)434e^-.08t to find the approximate the number of continuously serving members in each year

Non liner functions, what is a word problem for a nonlinear function?

what is a word problem for a nonlinear function?

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

i need help on the rate of change!!

Problem, A tank is filling with water from a natural spring. Two days ago t...

A tank is filling with water from a natural spring. Two days ago the water was 10 feet deep, and yesterday the water was 12 feet deep. Assume that the water depth continues to rise

Help, #question.0.3x-0.4y=-2.2 -0.1x-0.4y=-1.4

#question.0.3x-0.4y=-2.2 -0.1x-0.4y=-1.4

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