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

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

what does x when y=2x=3

Circles-circumferences, On her walk, Ana decides to cut straight through a ...

On her walk, Ana decides to cut straight through a circular garden with a circumference of 753.6 feet. If she is walking at a pace of 5 feet per second, how long does it take her t

Parallel and perpendicular Lines, How do you put (4,-5), 2x-5y=-10 in slope...

How do you put (4,-5), 2x-5y=-10 in slope intercept form and perpendicular to the graph given?

Algebraic expression, how to convert algebraic expression word to number TH...

how to convert algebraic expression word to number THREE MORE THAN A NUMBER

Quadratic equations, if the roots of a quadratic equation are (-2+sqrt 6) a...

if the roots of a quadratic equation are (-2+sqrt 6) and (-2-sqrt 6), what is the equation in ax^2+bx+c=0 form?

Help x.x, 2/3N + 4 = -26 solve for n, but what do i do with the fraction?...

2/3N + 4 = -26 solve for n, but what do i do with the fraction?

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