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Christos
 2 years ago
When a function is not a polynomial?
Christos
 2 years ago
When a function is not a polynomial?

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Christos
 2 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
 2 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
 2 years ago
Best ResponseYou've already chosen the best response.1whats the exponent of 'x' ?

ParthKohli
 2 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
 2 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
 2 years ago
Best ResponseYou've already chosen the best response.16 so its not a polynomial I guess :X

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

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

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

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

hartnn
 2 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
 2 years ago
Best ResponseYou've already chosen the best response.1hmm what sin(x) is equal to?

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

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

hartnn
 2 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
 2 years ago
Best ResponseYou've already chosen the best response.1thank very much I understand now <3 !

hartnn
 2 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 ^_^
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