Question

Classify the following polynomials by degree and number of terms. 1. 4p3 + 2p2 + 19p - 5

Answer 1

Given:

The polynomial is:

$4p^3+2p^2+19p-5$

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,

$4p^3+2p^2+19p-5$

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:

$4p^3+2p^2+19p+(-5)$

So, the terms in the given polynomial are $4p^3,2p^2,19p,-5$.

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