Polynomials:

Simple curves are polynomials of various degrees, or orders. The degree is the integer of the highest exponent in the expression. The illustrations are as follows:

• A straight line is the first order or degree 1 polynomial of the form ax + b, or more clearly ax¹+ b.
• A quadratic is a second order (or degree 2) polynomial of the form ax² + bx + c.
• A cubic (degree 3) is of the form ax³ + bx² + cx + d.

A MATLAB represents a polynomial as a row vector of coefficients. For illustration, the polynomial x³ + 2x² - 4x + 3 would be represented by the vector [1 2 -4 3].

The polynomial 2x⁴ - x² + 5 would be represented by [2 0 -1 0 5]; note that the zero terms for x³ and x¹.

There are built-in functions sym2poly and poly2sym which convert symbolic expressions to polynomial vectors and vice versa, the illustration is as shown below:

>> myp = [1,2,-4,3];

>> poly2sym(myp)

ans =

x^3+2*x^2-4*x+3

>> mypoly = [2 0 -1 0 5];

>> poly2sym(mypoly)

ans =

2*x^4-x^2+5

>> sym2poly(ans)

ans =

2 0 -1 0 5

Posted Date: 10/22/2012 8:40:45 AM | Location : United States

Ask an Expert

Related Discussions:- Polynomials, Assignment Help, Ask Question on Polynomials, Get Answer, Expert's Help, Polynomials Discussions

Write discussion on Polynomials
Your posts are moderated

Write your message here..

Related Questions

Example of functions which return values, Example of Functions which return... Example of Functions which return values: Calling this function prints the circumference, since there is no way to store the value, hence, it can be used in following computat

Operation on file, Operation on file: We concentrate first on the fget... Operation on file: We concentrate first on the fgetl function that reads strings from the file one line at a time. The fgetl functions afford more control over how the data is

Steps for input output functions - lower level file, Steps for input output... Steps for input output functions - Lower level file: The steps involved are as shown below:  Open the file.  Read the file, write to the file, or append to the file.

Nested functions, Nested Functions: We have seen that the loops can be... Nested Functions: We have seen that the loops can be nested, that means that one inside of the other, functions can be nested. The terminology for nested functions is that an

Function stubs, Function Stubs: The other common debugging method, whi... Function Stubs: The other common debugging method, which is used when there is a script main program which calls many functions, is to use the function stubs. A function stub

Generic code for reading from files, Generic code for Reading from Files: ... Generic code for Reading from Files: The generic code to complete this is as shown below:   fid = fopen('filename'); if fid == -1    disp('File open not suc

Functions which return values versus printing, Functions which return Value... Functions which return Values versus printing: Also, the function which computes and returns values (throughout the output arguments) does not generally print them; that is le

Opening and closing a file, Opening and Closing a File: The Files are ... Opening and Closing a File: The Files are opened with the fopen function. By the default, fopen function opens a file for reading. If the other mode is preferred, a permission

Nested structures, Nested Structures: The nested structure is a struct... Nested Structures: The nested structure is a structure in which at least one of the members is itself a structure. For illustration, a structure for the line segment may co

Run-time or execution-time error, Run-time or execution-time error: Th... Run-time or execution-time error: The Run-time, or execution-time, errors are found whenever a script or function is executing. With most of the languages, an illustration of