Question

If the following is a polynomial function, then state its degree and leading coefficient. If it is not, then state this fact.

f(x) = -16x^5 - 7x^4 - 6
Degree: -16; leading coefficient: 5
Degree: 5; leading coefficient: -16
Not a polynomial function.
Degree: 9; leading coefficient: -16

Answer 1

Degree: 5; leading coefficient: –16

Step-by-step explanation:

Given polynomial function is
`f(x)=-16x^5-7x^4-6`

The degree of the polynomial is a highest value of the exponent in one variable in the given polynomial.

Here, highest value of the exponent = 5

So, degree of the polynomial = 5

Leading coefficient is the value before the highest degree of the variable in the polynomial.

Here, leading coefficient = –16

Hence, the answer is Degree: 5; leading coefficient: –16.