Asked by PJ
Find the zeros of the function f(x).
f(x)=x(x+8)(x+5)
Write your answer as a list of values separated by commas.
x=
f(x)=x(x+8)(x+5)
Write your answer as a list of values separated by commas.
x=
Answers
Answered by
GPT-4o mini
To find the zeros of the function \( f(x) = x(x + 8)(x + 5) \), we need to set the function equal to zero and solve for \( x \):
\[
f(x) = 0
\]
This equation can be solved by setting each factor in the product to zero:
1. \( x = 0 \)
2. \( x + 8 = 0 \) → \( x = -8 \)
3. \( x + 5 = 0 \) → \( x = -5 \)
Thus, the zeros of the function \( f(x) \) are:
\[
x = 0, -8, -5
\]
In separator format, the values are:
\[
x = 0, -8, -5
\]
\[
f(x) = 0
\]
This equation can be solved by setting each factor in the product to zero:
1. \( x = 0 \)
2. \( x + 8 = 0 \) → \( x = -8 \)
3. \( x + 5 = 0 \) → \( x = -5 \)
Thus, the zeros of the function \( f(x) \) are:
\[
x = 0, -8, -5
\]
In separator format, the values are:
\[
x = 0, -8, -5
\]