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

Base numbers, convert 2543 to a decimal base 10 to binary base 2

convert 2543 to a decimal base 10 to binary base 2

Help, can you help and is it free?

can you help and is it free?

Circumference, a circular flower bed has radius 22 inches. what is the circ...

a circular flower bed has radius 22 inches. what is the circumference of the bed to the nearest tenth of an inch?

Vectors, Any vector space V satisÖes the ten axioms, among which the last o...

Any vector space V satisÖes the ten axioms, among which the last one is: "for any vector * u 2 V; 1 * u = * u; where 1 is the multiplicative identity of real numbers R:" Discuss th

CBA, I am preparing for a CBA what do I need to study?

I am preparing for a CBA what do I need to study?

Graphing, the problem is 6x+3y=-24. is tells me to graph using y=mx+b forma...

the problem is 6x+3y=-24. is tells me to graph using y=mx+b format but i don''t know how to get to that point.

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