Share

## Determine whether each expression is a polynomial. If it is a polynomial, find the degree and determine whether it is a monomial, binomial,

Question

Determine whether each expression is a polynomial. If it is a polynomial, find the degree and determine whether it is a monomial, binomial, or trinomial.

in progress
0

Mathematics
6 months
2021-08-17T07:37:42+00:00
2021-08-17T07:37:42+00:00 2 Answers
1 views
0
## Answers ( )

Answer:

The question is incomplete. Here is the complete question.

Determine whether each expression is a polynomial. If it is a polynomial, find the degree and determine whether it is a monomial, binomial or trinomial.

1.

2.

3.

4.

5.

6.

Answer and Step-by-step explanation: The definition of a polynomial is “poly” meaning many and Nominal, which means terms. So, Polynomial is an expression of constants, variables, exponents that are combined using mathematical operators: addition, subtraction, multiplication, and division.

However, there are exceptions:

Polynomial don’t have negative exponent;

Polynomial cannot be divided by a variable;

Variable cannot be inside a radical;

The degree of a polynomial is the highest exponent of that variable. For example for polynomial, the degree is 5.

Polynomials have 3 different types:

monomial: only has one term;

binomial: has 2 terms;

trinomial: has 3 terms;

Now, analyzing each expression given by the alternatives above:

1. It is a polynomial of degree 3 and trinomial.

2. It is a polynomial of degree 2 and trinomial.

3. Yes, it’s a polynomial of degree 2 and monomial.

4. It is not a polynomial because it is divided by a variable.

5. A polynomial of degree 5 and it’s a binomial.

6. It is not a polynomial due to the exponent being negative.

The question is incomplete. Here is teh complete question.

Determine whether each expression is a polynomial. If it is a polynomial, find the degree and determine whether it is a monomial, binomail or trinomial.

1.

2.

3.

4.

5.

6.

Answer and Step-by-step explanation:The definition of polynomial is “poly” meaning many and Nominal, which means terms. So,Polynomialis an expression of constants, variables, exponents that are combined using mathematical operators: addition, subtraction, multiplication and division.However, there are exceptions:

The

degreeofapolynomialis the highest exponent of that variable. For example for polynomial , the degree is 5.Polynomials have 3 different types:

Now, analysing each expression given by the alternatives above:

1. It is a polynomial of

degree 3andtrinomial.2. It is a polynomial of

degree 2andtrinomial.3. Yes, its a polynomial of

degree 2andmonomial.4. It is

nota polynomial because it isdivided by a variable.5. A polynomial of

degree 5and it’s abinomial.6. It is

nota polynomial due to the exponent being negative.