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.

Answer 1

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. $7ab+6b^{2}-2a^{3}$

2. $2y-5+3y^{2}$

3. $3x^{2}$

4. $\frac{4m}{3p}$

5. $5m^{2}p^{3}+6$

6. $5q^{-4}+6q$

Answer and Step-by-step explanation: The definition of 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 $3x^5+6x-5x^{2}$ , the degree is 5.

Polynomials have 3 different types:

• monomial: only has one term;
• binomial: has 2 terms;
• trinomial: has 3 terms;

Now, analysing 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, its 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.

Answer 2

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.