Answer:
[tex]-8c-9c^4d^2-8c-9c[/tex] is a polynomial of type binomial and has a degree 6.
Step-by-step explanation:
Given the polynomial expression
[tex]-8c-9c^4d^2-8c-9c[/tex]
Group like terms
[tex]=-9c^4d^2-8c-8c-9c[/tex]
Add similar elements: -8c-8c-9c=-25c
[tex]=-9c^4d^2-25c[/tex]
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
[tex]-9c^4d^2[/tex] has a degree 6. (adding the exponents of two variables 'c' and 'd').
Thus,
[tex]-8c-9c^4d^2-8c-9c[/tex] is a polynomial of type binomial and has a degree 6.
