Question

answer the questions about the following polynomial.
$-dfrac{1}{9} + 5x^2$
answer attempt 1 out of 3
the expression represents a dropdown polynomial with blank terms. the constant term is blank, thdropdown options: cubic, linear, quintic, quadratic, quartic is blank, and the leading coefficient is blank.

Explanation:

Step1: Determine Polynomial Type

The polynomial is $-\frac{1}{9} + 5x^2$. The highest power of $x$ is 2, so it's a quadratic polynomial.

Step2: Count Terms

The terms are $-\frac{1}{9}$ (constant term) and $5x^2$ (quadratic term), so there are 2 terms.

Step3: Identify Constant Term

The constant term (term without $x$) is $-\frac{1}{9}$.

Step4: Identify Degree

The highest power of $x$ is 2, so the degree is 2.

Step5: Identify Leading Coefficient

The leading term (term with highest power) is $5x^2$, so the leading coefficient is 5.

Answer:

The expression represents a \boxed{quadratic} polynomial with \boxed{2} terms. The constant term is \boxed{-\dfrac{1}{9}}, the degree is \boxed{2}, and the leading coefficient is \boxed{5}.