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

Exponential function, Exponential function As a last topic in this sect...

Exponential function As a last topic in this section we have to discuss a special exponential function.  Actually this is so special that for several people it is THE exponenti

Quadratic equation, solve 4x2+12x =0by using quadratic formula

solve 4x2+12x =0by using quadratic formula

Pre algebra, A=8 AND R=2 THEN WHAT IS A+R-10

A=8 AND R=2 THEN WHAT IS A+R-10

Rational expressions, I am looking the domain of g^2-6g-55/g. The denominat...

I am looking the domain of g^2-6g-55/g. The denominator here can be also be written as 1g, right?

Percentages, in a cloths shop reduces it prices by 20% how much is it on sa...

in a cloths shop reduces it prices by 20% how much is it on sale

Completing the square process, As a last topic in this section we have to b...

As a last topic in this section we have to briefly talk about how to take a parabola in the general form & convert it into the following form

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