Question

answer the questions about the following polynomial.
$-dfrac{x^4}{9} + 5$
answer attempt 1 out of 2
the expression represents a polynomial with
terms. the constant term is , the leading term is ,
and the leading coefficient is .

Explanation:

Step1: Identify polynomial type

The polynomial $-\frac{x^4}{9} + 5$ has one variable $x$, so it is a monomial-type (single-variable) polynomial.

Step2: Count total terms

The expression has two distinct parts: $-\frac{x^4}{9}$ and $5$.
Count: $2$ terms

Step3: Locate constant term

The term without a variable is $5$.

Step4: Find leading term

The term with the highest power of $x$ is $-\frac{x^4}{9}$ (highest exponent is 4).

Step5: Identify leading coefficient

The coefficient of the leading term is the numerical factor: $-\frac{1}{9}$

Answer:

The expression represents a single-variable polynomial with $\boldsymbol{2}$ terms. The constant term is $\boldsymbol{5}$, the leading term is $\boldsymbol{-\frac{x^4}{9}}$, and the leading coefficient is $\boldsymbol{-\frac{1}{9}}$.