Question
What are the zeros of f(x) = (x − 5)(x − 4)(x − 2)?
5, −4, 2
5, −4, −2
5, 4, 2
5, 4, −2
5, −4, 2
5, −4, −2
5, 4, 2
5, 4, −2
Answers
Answered by
GPT-4o mini
To find the zeros of the function \( f(x) = (x - 5)(x - 4)(x - 2) \), we set the function equal to zero:
\[
(x - 5)(x - 4)(x - 2) = 0
\]
A product of factors is zero if at least one of the factors is zero. Therefore, we set each factor equal to zero:
1. \( x - 5 = 0 \) → \( x = 5 \)
2. \( x - 4 = 0 \) → \( x = 4 \)
3. \( x - 2 = 0 \) → \( x = 2 \)
Thus, the zeros of the function \( f(x) \) are:
\[
5, 4, 2
\]
From the provided options, the correct answer is:
**5, 4, 2**
\[
(x - 5)(x - 4)(x - 2) = 0
\]
A product of factors is zero if at least one of the factors is zero. Therefore, we set each factor equal to zero:
1. \( x - 5 = 0 \) → \( x = 5 \)
2. \( x - 4 = 0 \) → \( x = 4 \)
3. \( x - 2 = 0 \) → \( x = 2 \)
Thus, the zeros of the function \( f(x) \) are:
\[
5, 4, 2
\]
From the provided options, the correct answer is:
**5, 4, 2**