Question

question
determine if the expression (-7m^3 + m + 9m^5) 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 (\boldsymbol{downarrow}) a polynomial.
represents
does not represent
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Explanation:

Step1: Define polynomial criteria

A polynomial in one variable has non-negative integer exponents on the variable, and only addition/subtraction of monomial terms.

Step2: Analyze given expression

Given expression: $-7m^3 + m + 9m^5$. All exponents ($3,1,5$) are non-negative integers, and it uses only addition of monomials.

Step3: Classify polynomial type

It has 3 terms, so it is a trinomial.

Step4: Find polynomial degree

The highest exponent of $m$ is $5$, so degree is 5.

Answer:

The given expression represents a polynomial. It is a trinomial of degree 5.