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

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Q-1 Find the remainder when is divided by

Solution:

How does how step of long division of polynomail work

Understaning the Division of Polynomials

How does how step of long division of polynomail work

  1. By long division,

    Therefore, the remainder is 0.

  2. By long division,

    Therefore, the remainder is

  3. By long division,

    Therefore, the remainder is

  4. By long division,

    Therefore, the remainder is

  5. By long division,

    Therefore, the remainder is

Q-2 Find the remainder when is divided by .

Explaining the division of polynomial with an example

Demonstrating Division of Polynomial

Explaining the division of polynomial with an example

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