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Definition of a monomial:

A monomial is a variable, a real number, or a multiplication of one or more variables and a real number with whole-number exponents

Examples of monomials and non-monomials


Monomials 9

x

9x

6xy

0.60x4y

Not monomials y - 6

x-1 or 1/x

√(x) or x1/2

6 + x

a/x

Polynomial definition:

A polynomial is a monomial or the sum or difference of monomials. Each monomial is called a term of the poynomial

Important!:Terms are seperated by addition signs and subtraction signs, but never by multiplication signs

A polynomial with one term is called a monomial

A polynomial with two terms is called a binomial

A polynomial with three terms is called a trinomial


Examples of polynomials:

Polynomial Number of terms

Some examples

Monomial 1

2, x, 5x3

Binomial 2

2x + 5, x2 - x, x - 5

Trinomial 3

x2 + 5x + 6, x5 - 3x + 8

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Q: What is the difference between polynomial and monomial?
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