MONOMIAL

Illustration:

These are the example of monomials

A monomial is an algebraic expression of one term. You can tell by finding the symbol + or - between numerical coefficients and the variables. It is a mathematical expression consisting of a single or one term. A term is a mathematical expression composed of a coefficient and a variable(s). A term can be a monomial, binomial, trinomial or polynomial.

In the expression:

1.) x ;  x is a monomial 'coz it's a single term.

2.) x y;  x y is a monomial 'coz it's a single term.

3.) 2xyz;  2xyz is a monomial 'coz it's a single term.

4.) x + 2y;  x + 2y is not a monomial 'coz it's not a single term. It is a binomial. There's a + sign between x and 2y, hence it's not monomial.

The following is an example of a monomial or binomial.

EXPRESSION                        TERM                    TYPE

1. x                                              one                       monomial
2. s-t                                           two                       binomial
3. 2xyz                                        one                       monomial
4. abc                                          one                        monomial
5. 2x + y                                      two                       binomial

Exercises:

Identify whether the given expressions are monomial, binomial, or trinomial.

a). x 

b) a + b 

c). b³ -b² +b

d). ( a - b + c)

e). a² – 2ab + b²

f).  x²  + y²

g). (2a-1) (a+2b)

h). (2a² + 4ab) – (a -2b)

i). a(a-2b+3c)

j). t+1

Answers:

a.) monomial b.) binomial c.) trinomial d.) monomial e.) trinomial f.) binomial g.) monomial h.) binomial i.) monomial j.)binomial

The parenthesis on d.) and g.) justify the "oneness" of the terms