Yazmin T. answered • 02/02/21

Math Tutor / Spanish Tutor / Track and Field Throws Coach

Problem: State the degree, type, and leading coefficient of f(x) = -5x^{2} - 6 - 4x

Solution:

First, we have to put the polynomial from highest degree to lowest degree.

(note: the degree is the exponent in the variable)

So, the polynomial is f(x) = -5x^{2} - 4x - 6

1) The** degree of this polynomial would be 2 **because it is the highest exponent in the polynomial.

2) The **type is quadratic** because the highest degree is 2.

3) The leading coefficient would be -5 because it is the number at the very beginning of the polynomial

*****NOTE: the leading coefficient will be number next to the highest degree. DO NOT include the variable. We are only looking for the number.**

Hope this helps!