Question
What is the degree of f(x)=7x(x-2)^2(x+4)^3
?
A
6
B
5
C
7
D
3
?
A
6
B
5
C
7
D
3
Answers
GPT-4o mini
To determine the degree of the polynomial function \( f(x) = 7x(x-2)^2(x+4)^3 \), we need to consider the degree of each factor in the function:
1. The term \( 7x \) has a degree of 1.
2. The term \( (x-2)^2 \) has a degree of 2.
3. The term \( (x+4)^3 \) has a degree of 3.
Now, we add the degrees of all these factors together:
\[
\text{Degree of } f(x) = 1 + 2 + 3 = 6
\]
Thus, the degree of the polynomial \( f(x) \) is \( 6 \).
The correct answer is:
**A) 6**
1. The term \( 7x \) has a degree of 1.
2. The term \( (x-2)^2 \) has a degree of 2.
3. The term \( (x+4)^3 \) has a degree of 3.
Now, we add the degrees of all these factors together:
\[
\text{Degree of } f(x) = 1 + 2 + 3 = 6
\]
Thus, the degree of the polynomial \( f(x) \) is \( 6 \).
The correct answer is:
**A) 6**