Techniques of representing polynomials using arrays, Data Structure & Algorithms

Assignment Help:

Q. Explain any three methods or techniques of representing polynomials using arrays. Write which method is most efficient or effective for representing the following polynomials.

 

8x100+10x+6

8x3-7x2+5x+15

 

Ans.

The three methods or techniques of representing polynomials using arrays is given as follows

(1) if maximum value of exponent of a polynomial is m then describe an array of size m+1 and store coefficient in corresponding index position or location as exponent. Ex:

2x2 +1 is stored as

829_array.png

(2) The one-dimensional  array  is  used  to  store  exponent  and  coefficient alternatively. Ex: 2x2 +1 is stored as

2005_array1.png

The  size  of  array  needed  is  2*n  where  n  is  the  number  of  elements  in

polynomial.

(3) Use  two dimensional arrays  or  one-dimensional  array  of  structures  one  for  storing exponents and other for co-efficient.

Ex: 2x2 +1 is stored as

525_array2.png

The size of arrays is 2*n where n is the number of the elements in polynomial. (i)  The second and third methods or techniques are the efficient methods.

For saving 8x100+10x+6  , as in method 1 there is a requirement of 101 integer locations.

(ii) 8x3-7x2+5x+15 for this polynomial any one of the representations can be used, but method or technique 1 will be best as there is only coefficients required to be stored. There are no gaps in the exponents; hence the complete array will be filled with the coefficients.


Related Discussions:- Techniques of representing polynomials using arrays

What is an algorithm, What is an algorithm?  What are the characteristics o...

What is an algorithm?  What are the characteristics of a good algorithm? An algorithm is "a step-by-step process for accomplishing some task'' An algorithm can be given in many

What is bubble sort, What is bubble sort? Bubble Sort: The basic ide...

What is bubble sort? Bubble Sort: The basic idea in bubble sort is to scan the array to be sorted sequentially various times. Every pass puts the largest element in its corr

In order post order, illlustraate the construction of tree of a binary tree...

illlustraate the construction of tree of a binary tree given its in order and post order transversal

Queue, algorithm for insertion in a queue using pointers

algorithm for insertion in a queue using pointers

Design and test a reference array, Instructions Design and test a r...

Instructions Design and test a reference array. Reference array stores the references to user supplied objects of different types. Just think it as a heterogeneous array wh

Convert graph into tree, How can we convert a graph into a tree ? Do we hav...

How can we convert a graph into a tree ? Do we have any standardized algorithm for doing this?

Find the shortest paths from bellman-ford algorithm, a) Find the shortest p...

a) Find the shortest paths from r to all other nodes in the digraph G=(V,E) shown below using the Bellman-Ford algorithm (as taught in class). Please show your work, and draw the f

Methods of collision resolution, Methods of Collision Resolution 1)  Co...

Methods of Collision Resolution 1)  Collision Resolution by separate chaining  2)  Collision Resolution by open addressing

A sort which relatively passes by a list, A Sort which relatively passes by...

A Sort which relatively passes by a list to exchange the first element with any element less than it and then repeats with a new first element is called as      Quick sort.

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