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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.
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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 , 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.