Question

question
determine if the expression $-y^4$ is a polynomial or not. if it is a polynomial, state the type and degree of the polynomial.
answer attempt 1 out of 2
the given expression
a polynomial.
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Explanation:

Step1: Recall the definition of a polynomial

A polynomial is an expression consisting of variables and coefficients, that involves only the operations of addition, subtraction, multiplication, and non - negative integer exponents of variables. For the expression \(-y^{4}\), the variable is \(y\), the coefficient is \(- 1\), and the exponent of \(y\) is \(4\) which is a non - negative integer. There are no operations like division by a variable or negative exponents.

Step2: Determine the type and degree (if applicable)

Since there is only one term in the expression \(-y^{4}\), it is a monomial (a type of polynomial with one term). The degree of a polynomial is the highest power of the variable in the polynomial. For the monomial \(-y^{4}\), the power of \(y\) is \(4\), so the degree is \(4\). And since it satisfies the definition of a polynomial, the expression is a polynomial.

Answer:

The given expression is a polynomial. It is a monomial (a type of polynomial) with degree 4. So the first blank should be filled with "is".