Question

Simplify the Polynomial if possible and write it with descending powers. Then give the degree of the resulting polynomial

Answer 1

A. The polynomial cannot be simplified. The polynomial written in descending powers is;

`3m^9+4m^8-6m^7-9m^6`

*The degree of the polynomial is 9.

*None of these

Step-by-step explanation:

Given the below polynomial;

`4m^8-9m^6+3m^9-6m^7`

Looking at the above polynomial, we can see that it cannot be simplified further than it is.

So let's go ahead and write it with descending powers as required;

`3m^9+4m^8-6m^7-9m^6`

The degree of a polynomial is the highest exponent of a variable in the polynomial.

Looking at the given polynomial, we can see that the highest exponent is 9, therefore the degree of the polynomial is 9.

A monomial is a polynomial with only one term.

A binomial is a polynomial with two terms.

A trinomial is a polynomial with three terms.

The given polynomial has 4 terms, so it is neither of the above-listed types of a polynomial.