Simple zeroes and multiplicity, Algebra

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.

Posted Date: 4/8/2013 2:39:05 AM | Location : United States







Related Discussions:- Simple zeroes and multiplicity, Assignment Help, Ask Question on Simple zeroes and multiplicity, Get Answer, Expert's Help, Simple zeroes and multiplicity Discussions

Write discussion on Simple zeroes and multiplicity
Your posts are moderated
Related Questions
The sum of the ages of Dorothy and Dona is 41. In 5 years, Dorothy will be twice as old as Dona. Find their age 3 years ago.

Mr.Carr is installing wall-to-wall carpeting in a room that measures 12 1/2ft. by 9ft. How much will it cost Mr. Carr if he purchases carpet priced at $26.00 per square yard?

I am a 14 year old 9th grade Freshmen, I seriously need help. I am failing with a 49.00 grade in my class

a carpenter had a 20 ft piece of lumber which he cut into 3 pieces. one piece was 7 1/3 ft long and other was 6 1/2 ft long. how long was the remaining piece?

graph and identify the conic section and describe the graph and its lines of symmetry then find the domain and range 3y^2 - x^2 = 25





how do you solve add radical sign 80 + radical sign 45