MONOMIAL

30/11/2017
          
           Today i am teaching class Monomial.

          A monomial, also called power product, is a product of powers of variables with nonnegative integer exponents, or, in other words, a product of variables, possibly with repetitions. The constant 1 is a monomial, being equal to the empty product and x0 for any variable x.
          If only a single variable x is considered, this means that a monomial is either 1 or a power xn of x, with n a positive integer. If several variables are considered, say, x , y , z , {\displaystyle x,y,z,} then each can be given an exponent, so that any monomial is of the form x a y b z c {\displaystyle x^{a}y^{b}z^{c}} with a , b , c {\displaystyle a,b,c} non-negative integers. A monomial is a monomial in the first sense multiplied by a nonzero constant, called the coefficient of the monomial.
          A monomial in the first sense is a special case of a monomial in the second sense, where the coefficient is 1. For example, in this interpretation − 7 x 5 {\displaystyle -7x^{5}}.