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

Q-1 Find the remainder when Equation is divided by

  1. Equation

  2. Equation

  3. Equation

  4. Equation

  5. Equation

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. Equation

    By long division,

    Equation

    Therefore, the remainder is 0.

  2. Equation

    By long division,

    Equation

    Therefore, the remainder is Equation

  3. Equation

    By long division,

    Equation

    Therefore, the remainder is Equation

  4. Equation

    By long division,

    Equation

    Therefore, the remainder is Equation

  5. Equation

    By long division,

    Equation

    Therefore, the remainder is Equation

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

Explaining the division of polynomial with an example

Demonstrating Division of Polynomial

Explaining the division of polynomial with an example

Solution:

By long Division,

Equation

Therefore, remainder obtained is Equation when Equation is divided by Equation

Q-3 Check whether Equation is a factor of Equation

Solution:

  • We have to divide Equation by Equation .

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

  • By Long Division,

    Equation

    As remainder is not zero so Equation is not a factor of Equation

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