# NCERT Class 9 Solutions: Polynomials (Chapter 2) Exercise 2.3 (For CBSE, ICSE, IAS, NET, NRA 2022)

Doorsteptutor material for IMO is prepared by world's top subject experts: fully solved questions with step-by-step explanation- practice your way to success.

**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