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?

1 Answer
Daniel L.
Sep 1, 2017

See explanation.

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:

  1. it has a variable #c# in the exponent

  2. The exponent has a minus sign

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

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