RD Sharma - Mathematics

Book: RD Sharma - Mathematics

Chapter: 2. Polynomials

Subject: Maths - Class 10th

Q. No. 10 of Exercise 2.3

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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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