If
is a zero of the polynomial function, then
is a factor of for the polynomial function.
Complex Zeros Occur in Conjugate Pairs : " If
is a zeros of the function, the conjugate
is also a zeros of the function ".
The zeros of the polynomial function are
and
.
Since complex zeros occur in conjugate pairs, the conjugate
is also a zeros of the polynomial function.
Since
is a zero of the polynomial function,
is a factor of the polynomial function.
Since
is a zero of the polynomial function,
is a factor of the polynomial function.
Since
is a zero of the polynomial function,
is a factor of the polynomial function.
\ \
The polynomial function is
.
Apply formula :
.


.
Thus, the polynomial function is
.
The polynomial function is
.