ALGEBRA

# monomials

A **monomial** is the simplest algebraic expression; it is formed by the product of numbers and letters or variables (with powers) .

It has two parts: the number part is called **coefficient**, and the letter part is called **literal part**.

Examples:

-4x (-4 is the coefficient and x is the literal part)

3xy^{2}z^{5} (3 is the coefficient and xy^{2}z^{5} is the literal part)

4x/y isn’t a monomial

The

**degree of a variable**is the index of its power and the**degree**of the monomial is the addition of the degrees of its variables.Examples: 4x has degree 1 and 3xy

^{2}z^{5}has degree 8 (= 1 + 2 + 5).Two monomials are called

**similar or like monomials**if they have the same literal part.Examples:

**Exercise**

Decide which of these expressions are monomials:

a) x^{3} + 3x - 1

b) xy/2

c)

d) x - y

e) a/b

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