NCERT Class 9 Solutions: Polynomials (Chapter 2) Exercise 2.2 – Part 2 (For CBSE, ICSE, IAS, NET, NRA 2022)

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Q-3 Verify whether the following are zeroes of the polynomial, indicated against them.

Solution:

Zero of a polynomial are the points where its value becomes zero.

Value of Polynomial is Zero at Its Root
  1. If is a zero of polynomial

Then, should be 0

Therefore, is a zero of polynomial

  1. If is a zero of polynomial

Then, should be 0

Therefore, is not a zero of polynomial

  1. If are the zeros of polynomial

Then, should be 0

Therefore, ae zeros of polynomial

  1. If are zeros of polynomial

Then, should be 0

Therefore, are zeros of polynomial

  1. If is a zero of polynomial

Then, should be 0

Therefore, is a zero of polynomial

  1. If is a zero of polynomial

Then, should be 0

Therefore, is a zero of polynomial

  1. If are zeros of polynomial

Then, should be 0

Therefore, is a zero of polynomial

But is not a zero of this polynomial

  1. If is a zero of polynomial

Then, should be 0

Therefore, is not a zero of polynomial

Q-4 Find the zero of the polynomial in each of the following cases:

Solution:

Polynomials for Each Type and Their Roots

The value of x for which the polynomial becomes zero, i.e.. are known as “zeros” of the polynomial.

We have to find x for which,

Therefore, is a zero of polynomial

  1. The value of x for which the polynomial becomes zero, i.e.. are known as “zeros” of the polynomial.

Therefore, is a zero of polynomial

  1. The value of x for which the polynomial becomes zero, i.e.. are known as “zeros” of the polynomial.

We have to find x for which,

Therefore, is a zero of polynomial

  1. The value of x for which the polynomial becomes zero, i.e.. are known as “zeros” of the polynomial.

We have to find x for which,

Therefore, is a zero of polynomial

  1. The value of x for which the polynomial becomes zero, i.e.. are known as “zeros” of the polynomial.

We have to find x for which,

Therefore, is a zero of polynomial

  1. The value of x for which the polynomial becomes zero, i.e.. are known as “zeros” of the polynomial.

We have to find x for which,

Therefore, is a zero of polynomial