What is a polynomial function?

Anonymous
timer Asked: Nov 13th, 2015
account_balance_wallet $5

Question Description

when can an expression be considered NOT a polynomial? 

how do you determine the degree of a term? degree of a polynomial?

Tutor Answer

sunny00000000
School: New York University

Thank you for the opportunity to help you with your question!

A polynomial is an expression which consists of variables, constants  and exponents joined using addition, multiplication, and subtraction. Example: 

x^2 + 5*x + 9 is a polynomial 

By the definition, both linear and quadratic functions can be considered polynomials.

When we have negative or fractions for exponents, or letters under a radical, an expression cannot be considered as a polynomial. Example

1/(X-1) + 6*X^2 is not a polynominal

Consider the polynomial: 

X^4 + 9X^3 - 2X^2 + 2

The degree of a polyniminal is the highest exponent so in above polynomial, the degree of the polynomial is 4.


The degree of the term is the exponent to which the variable in the term is raised. In the example above there are four terms of degree 4, 3, 2 and 0 (the constant term has degree 0). 


Please let me know if you need any clarification. I'm always happy to answer your questions.

flag Report DMCA
Review

Anonymous
Excellent job

Brown University





1271 Tutors

California Institute of Technology




2131 Tutors

Carnegie Mellon University




982 Tutors

Columbia University





1256 Tutors

Dartmouth University





2113 Tutors

Emory University





2279 Tutors

Harvard University





599 Tutors

Massachusetts Institute of Technology



2319 Tutors

New York University





1645 Tutors

Notre Dam University





1911 Tutors

Oklahoma University





2122 Tutors

Pennsylvania State University





932 Tutors

Princeton University





1211 Tutors

Stanford University





983 Tutors

University of California





1282 Tutors

Oxford University





123 Tutors

Yale University





2325 Tutors