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: Count the polynomial terms

Identify individual terms: $-\frac{x^4}{9}$ and $5$, so total terms = 2.

Step2: Identify constant term

The term without a variable is $5$.

Step3: Identify leading term

The term with highest degree ($x^4$) is $-\frac{x^4}{9}$.

Step4: Identify leading coefficient

The coefficient of the leading term is $-\frac{1}{9}$.

Step5: Classify polynomial type

Polynomial with one variable (x) is a monomial-type (univariate) polynomial (specifically quartic, but the dropdown refers to univariate).

Answer:

The expression represents a univariate 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 $\boldsymbol{-\frac{1}{9}}$.