MONOMIAL
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:
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