# NCERT Class 9 Solutions: Polynomials (Chapter 2) Exercise 2.3

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**Q-1** Find the remainder when is divided by

Solution:

By long division,

Therefore, the remainder is 0.

By long division,

Therefore, the remainder is

By long division,

Therefore, the remainder is

By long division,

Therefore, the remainder is

By long division,

Therefore, the remainder is

**Q-2** Find the remainder when is divided by .

Solution:

By long Division,

Therefore, remainder obtained is when is divided by

**Q-3** Check whether is a factor of

Solution:

We have to divide by .

If remainder comes out to be 0 then will be a factor of

By Long Division,

As remainder is not zero so is not a factor of