Respuesta :

Given:

The polynomial is:

[tex]4p^3+2p^2+19p-5[/tex]

To find:

The degree and number of terms.

Solution:

Degree of a polynomial: It is the highest power of the variable.

Terms: Numbers, variables and product of them are called terms and they are separated by positive sign "+".

We have,

[tex]4p^3+2p^2+19p-5[/tex]

In this polynomial, the variable is p and its highest power is 3. So, the degree of this polynomial is 3.

The given polynomial can be written as:

[tex]4p^3+2p^2+19p+(-5)[/tex]

So, the terms in the given polynomial are [tex]4p^3,2p^2,19p,-5[/tex].

Therefore, the degree of the given polynomial is 3 and the number of terms is 4.

The classification by degree and number of terms of degree 3 and 4 terms

Degree of polynomial

Given the polynomial function 4p^3 + 2p^2 + 19p - 5, we are to classify the expression by degree and number of terms.

  • The highest power of the given polynomial is its degree. Hence the degree of the polynomial is 3

  • Also, the given polynomial contains 4 terms.

In conclusion, the classification by degree and number of terms of degree 3 and 4 terms

Learn more on degree of polynomial here: https://brainly.com/question/25538519