Find all zeros of the polynomial , if two of its zeros are
and
.
We know that if is a zero of a polynomial then
Since -√2 and √2 are zeros of Therefore
and
are factors of
.
Now on dividing to find other zeros.
By applying division algorithm, we have:
=
(2
)
=
(
)
=
{
}
Hence, the zeros of the given polynomial are: