How do you determine if $d+3d^-c$ is a polynomial and if so, how do you identify if it is a monomial, binomial, or trinomial?

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Answer 1 · 2017-09-01T19:05:20

See explanation.

This expression is not a polynomial.

A polynomial of 1 variable is only an expression in a form:

$a_nx^n+a_{n-1}x^{n-1}+...+a_1x+a_0$

where $n$ is a natural number.

In the given expression the first term is a legal term in a polynomial, but the second is not because:

The only legal exponents in a polynomial are natural numbers (or zero)

How do you determine if d+3d^-cd+3d^-c is a polynomial and if so, how do you identify if it is a monomial, binomial, or trinomial?