Question

question 8 of 34 step 1 of 2
consider the following polynomial.
q(x) = -3x² - 6x + 14
step 1 of 2: find the degree and leading coefficient of q(x).
2 points
degree:
leading coefficient:

Explanation:

Step1: Find the degree

The degree of a polynomial is the highest power of \( x \) with a non - zero coefficient. In the polynomial \( q(x)=- 3x^{2}-6x + 14 \), the term with the highest power of \( x \) is \( -3x^{2} \), where the power of \( x \) is 2. So the degree of the polynomial is 2.

Step2: Find the leading coefficient

The leading coefficient is the coefficient of the term with the highest power of \( x \). For the term \( -3x^{2} \) (which is the term with the highest power of \( x \) in \( q(x) \)), the coefficient is - 3. So the leading coefficient is - 3.

Answer:

Degree: \( 2 \)
Leading Coefficient: \( - 3 \)