Time remaining:
polynomial operations

Tutor: None Selected Time limit: 0 Hours

Does anybody know the rules for polynomials?

like addition - you add such and such and keep exponents.. stuff like that

Aug 13th, 2014


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 y2), 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)


A polynomial can have constants, variables and exponents,
but never division by a variable.

Polynomial or Not?

These arepolynomials:

  • 3x
  • x - 2
  • -6y2 - (7/9)x
  • 3xyz + 3xy2z - 0.1xz - 200y + 0.5
  • 512v5+ 99w5
  • 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

Aug 13th, 2014
Aug 13th, 2014
Oct 27th, 2016
Mark as Final Answer
Unmark as Final Answer
Final Answer

Secure Information

Content will be erased after question is completed.

Final Answer