The polynomial function is and its zero
.
Since complex zeros occur in conjugate pairs, is also a zero of f.
Thus, the factors of f are .
Multiplying these two factors produces .
Rewrite the expression in long division form .
The zero is included for missing term x in the divisor.
\By the division algorithm theorem, the result of the division is .
The complete factorization of f(x) is .
The zeros of f(x) are .
The zeros of f(x) are .