Question

what are the zeros of f(x)=x(x-7)

x=7 only
x=0 and x=-7
x=0 only
x=0 and x=7

Answer 1

To find the zeros of the function \( f(x) = x(x - 7) \), we need to set \( f(x) \) equal to zero and solve for \( x \):

\[
f(x) = x(x - 7) = 0
\]

This product is equal to zero if either factor is zero:

1. \( x = 0 \)
2. \( x - 7 = 0 \) which simplifies to \( x = 7 \)

Thus, the zeros of the function are \( x = 0 \) and \( x = 7 \).

So the correct answer is:
**x = 0 and x = 7**.