Find all zeros of the polynomial function. Use the Rational Zero Theorem, Descartes's Rule of Signs, and possibly the

graph of the polynomial function shown by a graphing utility as an aid in obtaining the first zero or the first root.

$f(x)=x^4+62x^2+128x+65$

Find the zeros of the polynomial function.

$($Simplify your answer. Type an exact answer, using radicals and $i$ as needed. Use a comma to separate answers as

needed. Type each answer only once.$)$