Q. 103.5( 8 Votes )

# Find all zeros of the polynomial , if two of its zeros are and .

Answer :

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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