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

Then,

Then,

Then,

Then,

Q-4 Factorize:

FInding the monomial factors of a polynomial

Facttoring a Polynomial into Monomials

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Solution:

Q-5 Factorize:

Solution:

Image describing the factorization of a polynomial.

Finding Factors of a Polynomial

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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,

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,

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,

Factors of are

For

So, is not a factor of

Now,

So,