Polynomial Functions

Question

In order state the degree, type, and leading coefficient.

f(x)=-5x^2-6-4x

Answer 1

Problem: State the degree, type, and leading coefficient of f(x) = -5x² - 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) = -5x² - 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!

Answer 2

Degree = 2

Type = quadratic

leading coefficient = 5