Monomial
An algebraic expression with one term
A monomial is a type of algebraic expression that consists of a single term. The term can be a numerical constant, a variable, or a product of numerical constants and variables. Monomials can be written in the form of a coefficient multiplied by one or more variables raised to various powers. Some examples of monomials are:
– 3x
– 5y^2
– 2
– -4x^3y
– 7z^5
Monomials are important in algebraic simplification as they can be combined using the laws of exponents and distributivity. They are also used to represent terms in polynomial equations and can be multiplied and divided easily using the rules of exponents. It is important to note that monomials can only be added and subtracted to or from another monomial if they contain the same variable(s) raised to the same power(s).
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