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, #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

Square root, Next we desire to take a look at f (x ) =√x . First, note that...

Next we desire to take a look at f (x ) =√x . First, note that as we don't desire to get complex numbers out of a function evaluation we ought to limit the values of x that we can

Math, what does x when y=2x=3

what does x when y=2x=3

Help, Tank A contains four times as much as Tank B. Tank C contains 32 L mo...

Tank A contains four times as much as Tank B. Tank C contains 32 L more than Tank A. The three Tanks contain 482 L of water in all. How many liters of water does Tank A contain?

#Case 1, The diet problem, one of the earliest applications of linear progr...

The diet problem, one of the earliest applications of linear programming, was originally used by hospitals to determine the most economical diet for patients. Known in agricultu

Polynomial, (7x^3+6x^2)-2 -7x^3+6x^2-2 did I solve this correctly

(7x^3+6x^2)-2 -7x^3+6x^2-2 did I solve this correctly

.., (4y2)(2y)

(4y2)(2y)

Equations with more than one variable, Here we'll be doing is solving equat...

Here we'll be doing is solving equations which have more than one variable in them.  The procedure that we'll be going through here is very alike to solving linear equations that i

Exponential equations, In this section we will discussed at solving exponen...

In this section we will discussed at solving exponential equations There are two way for solving exponential equations.  One way is fairly simple, however requires a very specia

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