Simple zeroes and multiplicity, Algebra

Assignment Help:

Now, we've got some terminology to get out of the way.

Multiplicity k

 If r is a zero of a polynomial and the exponent on the term that produced the root is k then we say that r has multiplicity k. 

Simple zeroes

Zeroes with a multiplicity of 1 are often called simple zeroes.

For instance, the polynomial P ( x ) = x2 -10x + 25 = ( x - 5)2  will have one zero, x= 5 , and its multiplicity is 2. In some of the way we can think of this zero as happening twice in the list of all zeroes as we could write the polynomial as,

                      P ( x ) = x2 -10x + 25 = ( x - 5) ( x - 5)

Written down this way the term x - 5 shows up twice and each term specified the same zero, x= 5 .Saying that the multiplicity of a zero is k is only shorthand to acknowledge that the zero will take place k times in the list of all zeroes.


Related Discussions:- Simple zeroes and multiplicity

Math, how do i do the fundamental counting principe

how do i do the fundamental counting principe

Math, 4(3x-2) -5(x+1)=6-(4x-3)

4(3x-2) -5(x+1)=6-(4x-3)

Proofs, m?1=m?2 m?2=75 m?1=75

m?1=m?2 m?2=75 m?1=75

Parallelograms., how to find the multiplication factor

how to find the multiplication factor

Math, 1% of what number is 11

1% of what number is 11

Decimals, in her last gymnastics competition Keri scored a 5.6 on the floor...

in her last gymnastics competition Keri scored a 5.6 on the floor exercise, 5.85 on the vault and 5.90 on the balance beam. what was keri''s total?

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