Respuesta :

Answer:

See explanation below

Step-by-step explanation:

The degree of a polynomial is the LARGEST power at which the variable/s appear in their expression.

Notice that in the given polynomial, the highest power for the variable x is 3, from the term 5 x^3.

There is no other term with higher power for x.

The variable appear in the expression [tex]3^{4} + 5x^{3} + 7x^{2} + 3x[/tex] x which has highest power 3 not 4 .

We have to explain,  why the polynomial [tex]3^{4} + 5x^{3} + 7x^{2} + 3x[/tex] has a degree 3 and not 4.

According to the question,

A polynomial's degree is the highest or the greatest power of a variable in a polynomial equation.

The degree of a polynomial is the largest power at which the variable appear in their expression.

[tex]Polynomial = 3^{4} + 5x^{3} + 7x^{2} + 3x[/tex]

The given polynomial, the highest power for the variable x is 3, from 5 .

Hence, The variable appear in the expression [tex]3^{4} + 5x^{3} + 7x^{2} + 3x[/tex] x which has highest power 3 not 4 .

To know more about Degree click the link given below.

https://brainly.com/question/21726505