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
Answered by
GPT-4o mini
To determine the degree of the polynomial \( f(x) = 7x (x-2)^2 (x+4)^3 \), we need to find the degree of each factor and then sum them up.
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 together:
\[
1 + 2 + 3 = 6
\]
Thus, the degree of the polynomial \( f(x) \) is 6.
Therefore, the 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 together:
\[
1 + 2 + 3 = 6
\]
Thus, the degree of the polynomial \( f(x) \) is 6.
Therefore, the answer is:
A) 6