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

Given:

The polynomial is:

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,

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:

So, the terms in the given polynomial are .

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

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