Question

question
answer the questions about the following polynomial.
$3 - x^2$
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 .
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Explanation:

Step1: Classify polynomial degree

The highest power of $x$ is $2$, so it is a quadratic polynomial.

Step2: Count number of terms

The polynomial $3 - x^2$ has two distinct terms: $3$ and $-x^2$.

Step3: Identify constant term

The term without $x$ is $3$.

Step4: Identify leading term

Rewrite polynomial in standard form: $-x^2 + 3$. The term with highest degree is $-x^2$.

Step5: Identify leading coefficient

The coefficient of the leading term $-x^2$ is $-1$.

Answer:

The expression represents a quadratic polynomial with $\boldsymbol{2}$ terms. The constant term is $\boldsymbol{3}$, the leading term is $\boldsymbol{-x^2}$, and the leading coefficient is $\boldsymbol{-1}$.