A community for students.
Here's the question you clicked on:
 0 viewing
Christos
 3 years ago
When a function is not a polynomial?
Christos
 3 years ago
When a function is not a polynomial?

This Question is Closed

Christos
 3 years ago
Best ResponseYou've already chosen the best response.1Question: Identify if f(x) = 4  2/x^6 is a polynomial and if yes state its degree

hartnn
 3 years ago
Best ResponseYou've already chosen the best response.1when the exponents of the variable are nonnegative and integer, the function is polynomial, else not.

hartnn
 3 years ago
Best ResponseYou've already chosen the best response.1whats the exponent of 'x' ?

ParthKohli
 3 years ago
Best ResponseYou've already chosen the best response.0Not to mention, \(\sin(x)\) is not a polynomial either, even if it has a positive exponent.

hartnn
 3 years ago
Best ResponseYou've already chosen the best response.1ofcourse, my definition is incomplete , but it suffices in this case. and the term is 2/x^6 which equals, 2x^{6} now whats the exponent ?

Christos
 3 years ago
Best ResponseYou've already chosen the best response.16 so its not a polynomial I guess :X

Christos
 3 years ago
Best ResponseYou've already chosen the best response.1What about the sin(x) ?

hartnn
 3 years ago
Best ResponseYou've already chosen the best response.1yeah, its not, neither sin x

Christos
 3 years ago
Best ResponseYou've already chosen the best response.1What if the f(x) is a polynomial?

Christos
 3 years ago
Best ResponseYou've already chosen the best response.1sin(x) = x3x if I am not mistaken, *confused*

hartnn
 3 years ago
Best ResponseYou've already chosen the best response.1for polynomial function, exponents of the variable are nonnegative and integer example: 1x^5+x^99 or x^2+x+1 and so on.. sin x is a function of 'x' and no, sin x is not x^3x ...

Christos
 3 years ago
Best ResponseYou've already chosen the best response.1hmm what sin(x) is equal to?

Christos
 3 years ago
Best ResponseYou've already chosen the best response.1I am doing sin(x) and cos(x) atm they are pretty fresh into my mind :D

hartnn
 3 years ago
Best ResponseYou've already chosen the best response.1sin x = xx^3/3! +x^5/5!x^7/7! ....infinite terms for function to be polynomial, the number of terms should be finite. this is the reason why sin x is not a polynomial.

hartnn
 3 years ago
Best ResponseYou've already chosen the best response.1cos x = 1x^2/2!+x^4/4!x^6/6!+....infinite terms

Christos
 3 years ago
Best ResponseYou've already chosen the best response.1wait wait what is the notation of "!" used for here?

hartnn
 3 years ago
Best ResponseYou've already chosen the best response.1n! is read as n factorial and is defined as n*(n1)*(n2)*...3.2.1 example, 4! = 4*3*2*1

Christos
 3 years ago
Best ResponseYou've already chosen the best response.1thank very much I understand now <3 !

hartnn
 3 years ago
Best ResponseYou've already chosen the best response.1so you see, sin x and cos x have infinite terms, hence not a polynomial. oh, Welcome ^_^
Ask your own question
Sign UpFind more explanations on OpenStudy
Your question is ready. Sign up for free to start getting answers.
spraguer
(Moderator)
5
→ View Detailed Profile
is replying to Can someone tell me what button the professor is hitting...
23
 Teamwork 19 Teammate
 Problem Solving 19 Hero
 Engagement 19 Mad Hatter
 You have blocked this person.
 ✔ You're a fan Checking fan status...
Thanks for being so helpful in mathematics. If you are getting quality help, make sure you spread the word about OpenStudy.