Respuesta :
Answer:
[tex]2x^{3} +8[/tex]
Step-by-step explanation:
A binomial expression has two terms. For example, 4x + 5, [tex]5y^{2} + 10x[/tex]
The degree of any polynomial refers to the term with the highest exponent on its variable. For example, In expression 4x + 5, the exponent of x is 1 so it is 1st degree polynomial and in the same way, for [tex]5y^{2} + 10x[/tex] since the variable y has the highest exponent i.e., 2 therefore it is 2nd degree polynomial.
Now, third degree binomial with constant term 8 = [tex]2x^{3} +8[/tex]
As it has two terms where first term is [tex]2x^{3}[/tex] and second term is 8. Therefore, it is called binomial and since the highest exponent with variable x is 3, therefore it is third degree binomial with constant term of 8.
Third degree binomial with constant term 8 is
[tex]x^3 +8[/tex]
Polynomial expression has different terms that are separated by the operators which are + or - . The terms are of the form [tex]CX^n[/tex] .
Where C = Coefficient of variable X
and n = Exponent of variable X
Degree of Polynomial expression is the determined by term of highest exponent for that expression.
In a polynomial equation the terms are arranged in decreasing order of the exponents of variables (n) .
Also there can be more than one variables for the sake of ease let us consider a polynomial equation in one variable [tex]x[/tex]
A constant term has Zero exponent of the variable.
A polynomial equation with two terms is called as binomial expression.
so we can write
[tex]x^3 +8[/tex]
For more information please refer to the link below
https://brainly.com/question/11536910
