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Exercise 2.2 Class 9 maths 2. Polynomials - ncert solutions - Toppers Study

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Exercise 2.2 Class 9 maths 2. Polynomials - ncert solutions - Toppers Study

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Exercise 2.2 class 9 Mathematics Chapter 2. Polynomials

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Exercise 2.2 Class 9 Maths 2. Polynomials - Ncert Solutions - Toppers Study
Class 9 Ncert Solutions
Solution Chapter 2. Polynomials Class 9
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Chapter 2. Polynomials Exercise 2.2 Class 9

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2. Polynomials

| Exercise 2.2 |

Exercise 2.2 Class 9 maths 2. Polynomials - ncert solutions - Toppers Study

2. Polynomials

Exercise 2.2

Q1. Find the value of the polynomial 5x – 4x² + 3 at

(i) x = 0 (ii) x = –1 (iii) x = 2

Solution:

(i) p(x) = 5x - 4x²+ 3

The value of the polynomial p(x) at x = 0 is given by

P(0) = 5(0) - 4(0)²+ 3

= 0 - 0 + 3

= 3

(ii) p(x) = 5x - 4x²+ 3

The value of the polynomial p(x) at x = 1 is given by

P(1) = 5(1) - 4(1)²+ 3

= 5 - 4 + 3

= 4

(iii) p(x) = 5x - 4x²+ 3

The value of the polynomial p(x) at x = 2 is given by

P(2) = 5(2) - 4(2)²+ 3

= 10 -16 + 3

= - 9

Q2.Find p(0), p(1) and p(2) for each of the following polynomials:

(i) p(y) = y² – y + 1

(ii) p(t) = 2 + t + 2t² – t ³

(iii) p(x) = x³

(iv) p(x) = (x – 1) (x + 1)

Solution:

(i) p(y) = y²- y + 1

P(0) = (0)²- 0 + 1

P(1) = (1)²- 1 + 1

= 1 - 1 + 1

= 1

P(2) = (2)²- 2 + 1 = 4 - 2 + 1 = 3

(ii) p(t) = 2 + t + 2t²- t³

P(0) = 2 + 0 + 2(0)²- (0)³

P(1) = 2 + 1 + 2(1)²- (1)³

= 4

P(2) = 2 + 2 + 2(2)²- (2)³

= 4 + 8 - 8

= 4

(iii) p(x) = x³

P(0)=(0)³ =0

P(1)=(1)³=1

P(2)=(2)³=8

(iv)p(x) = (x – 1) (x + 1)

P(0)= (0-1) (0+1)=(-1) (1) =-1

P(1)= (1-1) (1+1) =0(1) =0

P(2)= (2-1) (2+1)=1(3) =3

Q3. Verify whether the following are zeroes of the polynomial, indicated against them.

Solution:

Q4. Find the zero of the polynomial in each of the following cases:

(i) P(x) = x + 5

(ii) P(x) = x – 5

(iii) Px) = 2x + 5

(iv) P(x) = 3x – 2

(v) P(x) = 3x

(vi) P(x) = ax, a ≠ 0

Solution (i) :

(i) P(x) = x + 5

⇒ x + 5 = 0

⇒ x = - 5

The zero of the polynomial is - 5.

Solution (ii) :

(ii) P(x) = x – 5

⇒ x – 5 = 0

⇒ x = 5

The zero of the polynomial is 5.

The zero of the polynomial is - 5/2.

(iv) P(x) = 3x - 2

3x - 2 = 0

The zero of the polynomial is 2/3.

Other Pages of this Chapter: 2. Polynomials

1. Chapter 2. Polynomials | Exercise 2.1

2. Chapter 2. Polynomials | Exercise 2.2

3. Chapter 2. Polynomials | Exercise 2.3

4. Chapter 2. Polynomials | Exercise 2.4

5. Chapter 2. Polynomials | Exercise 2.5

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