Exercise 2.2

NCERT solutions for Class 9 Maths Polynomials 

NCERT Solutions for Class 9 Maths Polynomials

1. Find the value of the polynomialat

(i)

(ii)

(iii)

Ans. (i)Let.

We need to substitute 0 in the polynomialto get

= 0-0+3

=3

Therefore, we conclude that at, the value of the polynomialis 3.

(ii)Let.

We need to substitutein the polynomialto get.

=-5-4+3

=-6

Therefore, we conclude that at, the value of the polynomialis

(iii)Let.

We need to substitute 0 in the polynomialto get

=10-16+3

=-3

Therefore, we conclude that at, the value of the polynomialis.

NCERT Solutions for Class 9 Maths Exercise 2.2

2. Find, and for each of the following polynomials:

(i)

(ii)

(iii)

(iv)

Ans. (i)

At:

At:

At:

(ii)

At:

=2

At:

At:

(iii)

At:

At:

At:

(vi)

At:

At:

At:

NCERT Solutions for Class 9 Maths Exercise 2.2

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

(i)

(ii)

(iii)

(iv)

(v)

(vi)

(vii)

(viii)

Ans. (i)

We need to check whetheris equal to zero or not.

Therefore, we can conclude thatis a zero of the polynomial.

(ii)

We need to check whetheris equal to zero or not.

Therefore, is not a zero of the polynomial .

(iii)

We need to check whetheris equal to zero or not.

At

At

Therefore, are the zeros of the polynomial .

(iv)

We need to check whetheris equal to zero or not.

At

At

Therefore, are the zeros of the polynomial.

(v)

We need to check whetheris equal to zero or not.

Therefore, we can conclude thatis a zero of the polynomial.

(vi)

We need to check whetheris equal to zero or not.

Therefore, is a zero of the polynomial.

(vii)

We need to check whetheris equal to zero or not.

At

At

Therefore, we can conclude thatis a zero of the polynomialbutis not a zero of the polynomial.

(viii)

We need to check whetheris equal to zero or not.

Therefore, is a zero of the polynomial

NCERT Solutions for Class 9 Maths Exercise 2.2

4. Find the zero of the polynomial in each of the following cases:

(i)

(ii)

(iii)

(iv)

(v)

(vi)

(vii)are real numbers.

Ans. (i)

, we need to find.

On puttingequal to 0, we get

Therefore, we conclude that the zero of the polynomialis.

(ii)

, we need to find.

On puttingequal to 0, we get

Therefore, we conclude that the zero of the polynomialis5.

(iii)

, we need to find.

On puttingequal to 0, we get

Therefore, we conclude that the zero of the polynomialis.

(iv)

, we need to find.

On puttingequal to 0, we get

Therefore, we conclude that the zero of the polynomialis.

(v)

, we need to find.

On puttingequal to 0, we get

Therefore, we conclude that the zero of the polynomialis0.

(vi)

, we need to find.

On puttingequal to 0, we get

Therefore, we conclude that the zero of the polynomialis0.

(vii)

, we need to find.

On puttingequal to 0, we get

Therefore, we conclude that the zero of the polynomialare real numbers. is.