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

Word problems, Shirley has 8 fewer pairs of earrings than bracelets. She h...

Shirley has 8 fewer pairs of earrings than bracelets. She has 15 bracelets. How many pairs of earrings does she have?

Graphing, I do not understand graphing at all.

I do not understand graphing at all.

Solution of basic linear equation, Solve following equations. (a)   x 2 ...

Solve following equations. (a)   x 2 -100 = 0  (b) 25 y 2 - 3 = 0 Solution There actually isn't all that much to these problems.  To use the square root property a

Set, {a|a=9 ,a=N,a

{a|a=9 ,a=N,a

Quadratic equations, Before proceeding with this section we have to note th...

Before proceeding with this section we have to note that the topic of solving quadratic equations will be covered into two sections. It is done for the advantage of those viewing t

#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

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