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

hartnnBest ResponseYou've already chosen the best response.1
when the exponents of the variable are nonnegative and integer, the function is polynomial, else not.
 one year ago

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

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

hartnnBest ResponseYou've already chosen the best response.1
ofcourse, 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 ?
 one year ago

ChristosBest ResponseYou've already chosen the best response.1
6 so its not a polynomial I guess :X
 one year ago

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

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

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

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

hartnnBest ResponseYou've already chosen the best response.1
for 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 ...
 one year ago

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

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

hartnnBest ResponseYou've already chosen the best response.1
sin 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.
 one year ago

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

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

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

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

hartnnBest ResponseYou've already chosen the best response.1
so you see, sin x and cos x have infinite terms, hence not a polynomial. oh, Welcome ^_^
 one year ago
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