Question

determine if the expression $-7c^3d$ is a polynomial or not. if it is a polynomial, state the type and degree of the polynomial. monomial binomial trinomial none of the above represents a polynomial. the polynomial is a and has a degree of .

Explanation:

Step1: Define Polynomial and Monomial

A polynomial is an expression consisting of variables and coefficients, combined using addition, subtraction, and multiplication (non - negative integer exponents). A monomial is a polynomial with only one term. The expression \(-7c^{3}d\) has only one term, so it is a monomial (and thus a polynomial).

Step2: Calculate the Degree

The degree of a monomial (or polynomial) is the sum of the exponents of its variables. For the term \(-7c^{3}d\), the exponent of \(c\) is \(3\) and the exponent of \(d\) is \(1\). So the degree is \(3 + 1=4\).

Answer:

The expression \(-7c^{3}d\) represents a polynomial. The polynomial is a monomial and has a degree of \(4\).