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polynomial operations
Algebra

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Does anybody know the rules for polynomials?
like addition  you add such and such and keep exponents.. stuff like that
Aug 13th, 2014
Polynomials
A polynomial looks like this:
example of a polynomial this one has 3 terms 
Polynomial comes from poly (meaning "many") and nomial (in this case meaning "term") ... so it says "many terms"
A polynomial can have:
constants (like 3, 20, or ½) 
variables (like x and y) 
exponents (like the 2 in y^{2}), but only 0, 1, 2, 3, ... etc are allowed 
that can be combined using addition, subtraction, multiplication and division ...
... except ...
... not division by a variable (so something like 2/x is right out) 
So:
A polynomial can have constants, variables and exponents,
but never division by a variable.
Polynomial or Not?
These arepolynomials:
 3x
 x  2
 6y^{2}  (^{7}/_{9})x
 3xyz + 3xy^{2}z  0.1xz  200y + 0.5
 512v^{5}+ 99w^{5}
 5
(Yes, even "5" is a polynomial, one term is allowed, and it can even be just a constant!)
And these are not polynomials
 3xy^{2} is not, because the exponent is "2" (exponents can only be 0,1,2,...)
 2/(x+2) is not, because dividing by a variable is not allowed
 1/x is not either
 √x is not, because the exponent is "½" (see fractional exponents)
But these are allowed:
 x/2 is allowed, because you can divide by a constant
 also 3x/8 for the same reason
 √2 is allowed, because it is a constant (= 1.4142...etc)
Monomial, Binomial, Trinomial
There are special names for polynomials with 1, 2 or 3 terms:
Aug 13th, 2014
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Aug 13th, 2014
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Aug 13th, 2014
Oct 27th, 2016
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