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guapka [62]
2 years ago
9

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.
Mathematics
2 answers:
NeX [460]2 years ago
5 0

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, <u>Polynomial</u> 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 <u>degree</u> <u>of</u> <u>a</u> <u>polynomial</u> 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.

tresset_1 [31]2 years ago
4 0

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.

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