Question

answer the questions about the following polynomial.
$-x^2 - 4$
answer attempt 1 out of 3
the expression represents a
polynomial with
terms. the constant term is
, the leading term is
, and the leading coefficient is
.

Explanation:

Step1: Determine the degree of the polynomial

The polynomial is \(-x^2 - 4\). The highest power of \(x\) is 2, so it's a quadratic (degree 2) polynomial.

Step2: Count the number of terms

The terms are \(-x^2\) and \(-4\), so there are 2 terms.

Step3: Identify the constant term

A constant term has no variable. Here, the constant term is \(-4\).

Step4: Identify the leading term

The leading term is the term with the highest degree, which is \(-x^2\).

Step5: Identify the leading coefficient

The leading coefficient is the coefficient of the leading term. For \(-x^2\), the coefficient is \(-1\).

Answer:

The expression represents a quadratic polynomial with 2 terms. The constant term is \(-4\), the leading term is \(-x^2\), and the leading coefficient is \(-1\).