I don’t understand very well, what happens if I have an expression with degree of algebraic terms a real number or a natural number? how are each called?
and for example, the number 137 is a term? is an arithmetic expression?
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Those names just refer to the number of terms in an expression. “4x” is a monomial. “4x+3” is a binomial, etc. Any binomial, trinomial, or more can be described as a polynomial because that just means several terms. I’ve never actually heard multinomial but “poly-” and “multi-” both mean many, just with different word origins.
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