Question

question
determine if the expression (-7c^{-4}d^{4}) is a polynomial or not. if it is a polynomial, state the type and degree of the polynomial.
answer attempt 1 out of 2
the given expression (\boldsymbol{\text{dropdown}}) a polynomial.
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Explanation:

Step1: Recall Polynomial Definition

A polynomial is an expression of the form \(a_nx^n + a_{n - 1}x^{n - 1}+\dots+a_1x + a_0\), where exponents of variables are non - negative integers and coefficients are real numbers.

Step2: Analyze the Given Expression

The given expression is \(-7c^{-4}d^{4}\). We can rewrite it as \(\frac{-7d^{4}}{c^{4}}\) (using the rule \(a^{-n}=\frac{1}{a^{n}}\)). Here, the exponent of \(c\) is \(- 4\), which is a negative integer. Since a polynomial requires all exponents of variables to be non - negative integers, this expression does not meet the criteria of a polynomial.

Answer:

is not