Answer to Question #212999 in Algebra for Rashmay

Question

What are the concepts of polynomial and rotational function?

What are the simplest polynomial and rotational function?

What are the Occuring fact that can be interpreted as polynomial and ratational function in day to day activities?

Answer 1

Polynomial is an expression comprising variables and coefficients.

The rational expression is fractions involving polynomials

Polynomial:

A polynomial is an expression consisting of variables (also called indeterminates) and coefficients, that involves only the operations of addition, subtraction, multiplication, and non-negative integer exponents of variables.

An example of a polynomial of a single indeterminate, x, is x² − 4x + 7

Polynomial Functon :

A polynomial function is a function which involves only non-negative integer powers or only positive integer exponents of a variable in an equation like the quadratic equation, cubic equation

Rational:

The definition of rational is something that makes sense or that could be based in fact or someone who behaves and thinks logically.

Rational Function:

A rational function is any function which can be defined by a rational fraction, i.e. an algebraic fraction such that both the numerator and the denominator are polynomials. The coefficients of the polynomials need not be rational numbers. They may be taken in any field K.

Polynomials are used to describe curves of various types, people use them in the real world to graph curves. For example, roller coaster designers may use polynomials to describe the curves in their rides.