Respuesta :

Answer:

4m³+8 is a 3rd degree binomial with constant term of [tex]8[/tex].

Step-by-step explanation:

  • A binomial expression consists of two terms.

For example,

[tex]m+n[/tex] is a binomial, where m and n are two terms.

  • As we know that the degree of the polynomial is said to be the highest exponent of any of the terms.

For example, in expression 7m + 3, the exponent of m is 1. So it is 1st degree polynomial.

Similarly, in the expression 10m²+9m, variable m has the highest exponent which is 2. So it is 2nd degree polynomial.

Now, let us write a 3rd degree binomial with a constant term of 8

4m³+8

As it has two terms which are 4m³ and 8, Therefore, it would be called binomial.

Also the highest exponent with variable m is [tex]3[/tex]. Therefore it would be a 3rd degree binomial with constant term of [tex]8[/tex].