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I don't understand this: is \(a + b\) a polynomial? They say that a polynomial is filled with constant coefficients and a single variable, that is, a polynomial is in the form \(f(x) = a + bx + cx^2 \cdots \)
 one year ago
 one year ago
I don't understand this: is \(a + b\) a polynomial? They say that a polynomial is filled with constant coefficients and a single variable, that is, a polynomial is in the form \(f(x) = a + bx + cx^2 \cdots \)
 one year ago
 one year ago

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ParthKohliBest ResponseYou've already chosen the best response.0
On the other hand, it is a polynomial because it is filled with terms.
 one year ago

amistre64Best ResponseYou've already chosen the best response.1
a poly of one variable is expressed as your f(x) a poly of multiple variables is defined for: \[f(x_1,x_2,...,x_n)]\
 one year ago

ParthKohliBest ResponseYou've already chosen the best response.0
So this is a polynomial, right?
 one year ago

ParthKohliBest ResponseYou've already chosen the best response.0
I think you used ]\ instead of \] :)
 one year ago

amistre64Best ResponseYou've already chosen the best response.1
lol, accursed typos!!
 one year ago

amistre64Best ResponseYou've already chosen the best response.1
yes, a+b is a polynomial of the form: \[f(a.b)=c_0a+c_1b+c_2a^2+c_3b^2+c_4a^2b+c_5ab^2+...\]
 one year ago

ParthKohliBest ResponseYou've already chosen the best response.0
Oh, I get where you are getting. The \(f(x)\) is just a specialized type of polynomial
 one year ago

amistre64Best ResponseYou've already chosen the best response.1
the variables are pretty much accounted for by adding up the appropriate:(a+b)^n parts, n=0,1,2,3,....
 one year ago

ParthKohliBest ResponseYou've already chosen the best response.0
But what are the polynomials in the form \(a + bx + cx^2 \cdots\) called?
 one year ago

amistre64Best ResponseYou've already chosen the best response.1
polynomials of a single variable is what id call them.
 one year ago

ParthKohliBest ResponseYou've already chosen the best response.0
OK  that clears it up. Thanks!
 one year ago

amistre64Best ResponseYou've already chosen the best response.1
http://www.wolframalpha.com/input/?i=polynomial a poly in one var ....
 one year ago

amistre64Best ResponseYou've already chosen the best response.1
think of a poly as a summation: \[f(x)=\sum_{n=0}^{N}(x)^n\] \[f(x,y)=\sum_{n=0}^{N}(x+y)^n\] \[f(x,y,z)=\sum_{n=0}^{N}(x+y+z)^n\] with something applied for constant coeefs
 one year ago
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