Bot GPT 4-o mini 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.
- The factor \( 7x \) has a degree of 1.
- The factor \( (x-2)^2 \) has a degree of 2.
- 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
1 answer