The standard form of a quadratic function is:
`f(x) = ax^2 + bx + c`
If the zeros of the function are 3 and 1/2, then the factors of the function are:
`(x - 3)` and `(x - 1/2)`
To find the quadratic function using these factors, you can first multiply them together:
`(x - 3)(x - 1/2) = x^2 - 7/2x + 3/2`
Now we have:
`f(x) = x^2 - 7/2x + 3/2`
This is the quadratic function in standard form that has zeros of 3 and 1/2.