NCERT Class 9 Solutions: Polynomials (Chapter 2) Exercise 2.4 – Part 2

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Q-3 Find the value of k, if is a factor of in each of the following cases:

Solution:

According to factor theorem, if is a factor of , then

  1. Then,

  2. Then,

  3. Then,

  4. Then,

Q-4 Factorize:

FInding the monomial factors of a polynomial

Facttoring a Polynomial Into Monomials

FInding the monomial factors of a polynomial

Solution:

Q-5 Factorize:

Solution:

Image describing the factorization of a polynomial.

Finding Factors of a Polynomial

Image describing the factorization of a polynomial.

  1. Let us guess a factor and choose value of a arbitrarily as 1.

    Now, putting this value in

    So, is a factor of

    Now,

    So,

  2. Let us guess a factor . A should be a factor of 5

    Therefore,

    For

    So, is not a factor of

    For

    So, is a factor of

    Now,

    So,

  3. Let us guess a factor . A should be a factor of 20

    Therefore,

    For

    So, is not a factor of

    For

    So, is a factor of

    Now,

    So,

  4. Factors of are

    For

    So, is not a factor of

    Now,

    So,