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

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

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

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

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

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

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

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

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

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

hartnn
 one year 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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