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"Why is a constant a monomial?"

The short answer is because a constant is a special typeof monomial.

The reason for this is that the definition of a monomial reads: A monomial is

"An expression that is either

a numeral (= a numerical expression which names a particular number, IE a constant),

a variable,

or a product of a numeral and one or more variables."

"constant (monomial): A monomial consisting of a numeral only; a term with no variable factor. "

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