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

MATHHH HELPPP, the sum of three consecutive odd integers is -195. find the ...

the sum of three consecutive odd integers is -195. find the three integers.

Algebra 2 with trig, I am supposed to put y= -2x-16x-32 in vertex form and ...

I am supposed to put y= -2x-16x-32 in vertex form and identify the vertex , axis of symmetry, and direction of opening.

Operations, [-(y4-y2 + 1)-(y4+2y2 + 1]+(4y4-10y2-3)

[-(y4-y2 + 1)-(y4+2y2 + 1]+(4y4-10y2-3)

Operational rasearch, 1) Maximize z = 4x1 + 10x2 Subject to 2x1 + x¬2 2x...

1) Maximize z = 4x1 + 10x2 Subject to 2x1 + x¬2 2x1 + 5x¬2 2x1 + 3x¬2 x1 , x¬2 >=0

Help, i need help on my homework could u help me ?

i need help on my homework could u help me ?

Second form of parabola, As noted earlier most parabolas are not given in t...

As noted earlier most parabolas are not given in that form.  So, we have to take a look at how to graph a parabola which is in the general form.

Excel, Ask question1 MATH 1110 – Mathematics for I.T. Follow the instructio...

Ask question1 MATH 1110 – Mathematics for I.T. Follow the instructions given below to submit your work. ? Use MS Word to open a new solution file. ? Write your name, Student Id and

Sail boating, How did they get an answer of 4.24899(-6) the question isc=4d...

How did they get an answer of 4.24899(-6) the question isc=4d(-1)/3.b. I now i substitute 23,245 for d and 13.5 for b, but don''t understand how they got this answer?

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