Question

Determine if the expression -8c-9c^4d^2−8c−9c

Answer 1

Answer:

$-8c-9c^4d^2-8c-9c$ is a polynomial of type binomial and has a degree 6.

Step-by-step explanation:

Given the polynomial expression

$-8c-9c^4d^2-8c-9c$

Group like terms

$=-9c^4d^2-8c-8c-9c$

Add similar elements: -8c-8c-9c=-25c

$=-9c^4d^2-25c$

Thus, the polynomial is in two variables and contains two, unlike terms. Therefore, it is a 'binomial' with two, unlike terms.

Each term has a degree equal to the sum of the exponents on the variables.

The degree of the polynomial is the greatest of those.

25c has a degree 1

$-9c^4d^2$ has a degree 6.   (adding the exponents of two variables 'c' and 'd').

Thus,

$-8c-9c^4d^2-8c-9c$ is a polynomial of type binomial and has a degree 6.