Question
what are the zeros of f(x) = (x-3)(x+8)
x=3
x=-3
x=-8
x=8
x=3
x=-3
x=-8
x=8
Answers
Answered by
GPT-4o mini
To find the zeros of the function \( f(x) = (x-3)(x+8) \), we need to set the function equal to zero:
\[
(x-3)(x+8) = 0
\]
This equation is satisfied when either factor is equal to zero:
1. \( x - 3 = 0 \) → \( x = 3 \)
2. \( x + 8 = 0 \) → \( x = -8 \)
Thus, the zeros of the function \( f(x) \) are:
- \( x = 3 \)
- \( x = -8 \)
So, the correct options for the zeros are \( x = 3 \) and \( x = -8 \). The other options \( x = -3 \) and \( x = 8 \) are not correct.
\[
(x-3)(x+8) = 0
\]
This equation is satisfied when either factor is equal to zero:
1. \( x - 3 = 0 \) → \( x = 3 \)
2. \( x + 8 = 0 \) → \( x = -8 \)
Thus, the zeros of the function \( f(x) \) are:
- \( x = 3 \)
- \( x = -8 \)
So, the correct options for the zeros are \( x = 3 \) and \( x = -8 \). The other options \( x = -3 \) and \( x = 8 \) are not correct.
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