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: 
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so that the resulting polynomial is exactly divisible by 
?
, if two of its zeros are 2 and-2.
, if two of its zeros are 
and 
.
, if two of its zeros are 
and 
.