Question

Identify the degree and number of terms of the polynomial: 200p-30p^2m+40m^5 The degree is: AnswerThe number of terms in the polynomial is: Answer

Answer 1

The degree of the polynomial is 5 while the number of terms in the polynomial is 3.

To solve this problem

Let's identify the degree and number of terms of the polynomial:

`200p-30p^2m+40m^5`

Degree:

The degree of a polynomial is the highest power of the variable in the polynomial. In this case, the highest power of the variable is 5 (in the term
`40m^5`).

Therefore, the degree of the polynomial is 5.

Number of terms:

A term is a single part of a polynomial that is separated by addition or subtraction signs. In this case, there are three terms:
`200p, -30p^2m,` and
`40m^5`.

Therefore, the number of terms in the polynomial is 3.

Answer 2

The polynomial shown is,

`200p-30p^2m+40m^5`

We know,

• The ,degree of a polynomial, is the highest power of the variable in a polynomial expression.

• A polynomial is a monomial or the sum or difference of two or more polynomials. Each monomial is called a ,term, of the polynomial.

Looking at the polynomial, we see that the HIGHEST power is m to the power of 5. So, the degree of the polynomial is 5.

Also, there are 3 terms in the polynomial.

AnswerDegree = 5Terms = 3