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.

answer attempt 1 out of 3

the given expression dropdown a polynomial.
options in dropdown: represents, does not represent

Explanation:

Step1: Recall Polynomial Definition

A polynomial is an expression consisting of variables and coefficients, combined using addition, subtraction, and multiplication, with non - negative integer exponents on the variables. The expression \(-7c^{3}d\) can be written as \(-7c^{3}d^{1}\), where the exponents of \(c\) (3) and \(d\) (1) are non - negative integers, and it is a product of a coefficient (\(-7\)) and variables with non - negative integer exponents.

Step2: Determine if it's a Polynomial

Since \(-7c^{3}d\) satisfies the definition of a polynomial (variables with non - negative integer exponents, combined by multiplication with a coefficient), it is a polynomial. Also, a polynomial with one term is a monomial. To find the degree, we add the exponents of the variables: for \(c^{3}d^{1}\), the degree is \(3 + 1=4\). But for the first part of the question (the dropdown), we just need to determine if it is a polynomial.

Answer:

represents