Finding Zeros of the Function \(f(x) = (x - 17)(x - 7)\)

The zeros of a function are the input values (\(x\)) that make the function's output (\(f(x)\)) equal to zero. To find the zeros of \(f(x) = (x - 17)(x - 7)\), we need to solve the equation \(f(x) = 0\).

Step-by-Step Solution

1. Set the function equal to zero: \((x - 17)(x - 7) = 0\)
2. Apply the zero product property. If the product of two factors is zero, then at least one of the factors must be zero.
   • Set the first factor to zero: \(x - 17 = 0\)
   • Set the second factor to zero: \(x - 7 = 0\)
3. Solve for \(x\) in each case:
   • From \(x - 17 = 0\), we get \(x = 17\).
   • From \(x - 7 = 0\), we get \(x = 7\).

Therefore, the zeros of the function \(f(x) = (x - 17)(x - 7)\) are 17 and 7.