Find the complex zeros of the following polynomial function. Write $f$ in factored form.

$f(x)=x^4+6x^3+18x^2+150x-175$

The complex zeros of $f$ are $5i,-5i,1,-7.$

$($Simplify your answer. Type an exact answer, using radicals and $i$ as needed. Use integers or fractions for any numbers in the expression. Use a comma to separate answers as needed.$)$

Use the complex zeros to factor $f.$

$f(x)=$

$($Factort Eompletely. Type an exact answer, using radicals and $i$ as needed. Use integers or fractions for any numbers in the expression.$)$