"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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