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) = ____________________________
(Type your answer in factored form. Type an exact answer, using radicals and (i) as needed. Use integers or fractions for any numbers in the expression.)