Monomial
In mathematics, a monomial is a polynomial with exactly one term
In mathematics, a monomial is a polynomial with exactly one term. It is an algebraic expression consisting of a single term, usually represented as a constant or a product of a constant and one or more variables raised to non-negative integer exponents.
The general form of a monomial is:
ax^n
where “a” is a numerical coefficient (which can be positive or negative), “x” represents a variable, and “n” is a non-negative integer exponent.
Examples of monomials include:
– 5x^2
– 3xy
– 8
– -2x^3y^2z
Monomials can be combined using basic arithmetic operations such as addition, subtraction, multiplication, and division. When multiplying monomials, you simply multiply the numerical coefficients and combine the variables by adding their exponents. For example:
(3x^2)(4x^3) = 12x^(2+3) = 12x^5
It is important to note that a monomial can only have variables raised to non-negative integer exponents. If there are variables with negative or fractional exponents, or if variables are present in denominators, the expression is not considered a monomial.
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