Question

What is the degree of f(x)=7x(x−2)2(x+4)3
?(1 point)
Responses

7
7

6
6

5
5

4

Answer 1

To find the degree of the polynomial function \( f(x) = 7x(x-2)^2(x+4)^3 \), we can determine the degree by analyzing the degree of each factor.

1. The factor \( 7x \) has a degree of 1.
2. The factor \( (x-2)^2 \) has a degree of 2.
3. The factor \( (x+4)^3 \) has a degree of 3.

Now, we sum the degrees of all the factors:

\[
\text{Total degree} = 1 + 2 + 3 = 6
\]

Therefore, the degree of \( f(x) \) is \( 6 \).

The correct response is:

**6**