NCERT Solutions for Class 9 Maths Chapter 2 Polynomials Ex 2.2 are part of NCERT Solutions for Class 9 Maths. Here we have given NCERT Solutions for Class 9 Maths Chapter 2 Polynomials Ex 2.2.

- Polynomials Class 9 Ex 2.1
- Polynomials Class 9 Ex 2.2
- Polynomials Class 9 Ex 2.3
- Polynomials Class 9 Ex 2.4
- Polynomials Class 9 Ex 2.5

Board |
CBSE |

Textbook |
NCERT |

Class |
Class 9 |

Subject |
Maths |

Chapter |
Chapter 2 |

Chapter Name |
Polynomials |

Exercise |
Ex 2.2 |

Number of Questions Solved |
4 |

Category |
NCERT Solutions |

## NCERT Solutions for Class 9 Maths Chapter 2 Polynomials Ex 2.2

**Ex 2.2 Class 9 Maths Question 1.**

Find the value of the polynomial 5x – 4x^{2} + 3 at

(i) x=0

(ii) x=-1

(iii) x=2

**Solution:
**

**Ex 2.2 Class 9 Maths Question 2.**

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

(i) p(y)=y

^{2}-y+1

(ii) p(t) =2+t+2t

^{2}-t

^{3 }(iii) p(x) =x

^{3 }(iv) p (x)=(x-1)(x+1)

**Solution:**

**(i)**We have,p(y) = y

^{2}-y+1

∴ p(0)= (0)

^{2}-0+1 = 0-0+1 =1,

p(1)=(1)

^{2}-1+1 = 1-1+1 = 1,

and p(2) = (2)

^{2}– 2 +1 = 4 – 2 +1 = 3

**(ii)** We have, p(t) = 2 +1 + 2t^{2} -t^{3
}∴ p(0) = 2 + 0 + 2(0)^{2} – (0)^{3
}= 2 + 0+ 0-0 = 2,

p(1) = 2 +1 + 2(1)^{2} – (l)^{3
}= 2+l+2-l = 5-1 = 4

p(2) = 2 + 2 + 2(2)^{2} – (2)^{3
}= 2 + 2 + 8-8 = 4

**(iii)** We have, p(x) = x^{3
}p(o) = (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) = (2 -1) (1 +1) = (0)(2) = 0

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

**Ex 2.2 Class 9 Maths Question 3.**

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

(i) p(x) =3x+1,x=- \(\cfrac { 1 }{ 3 }\)

(ii) p(x)=5x-π,x=\(\cfrac { 4 }{ 5 }\)

(iii) p(x) =x^{2} -1,x=1,-1

(iv) p(x)=(x+1)(x-2),x = -1,2

(v) p(x) =x^{2 },x=0

(vi) p(x)=lx+m,x = – \(\cfrac { m }{ l }\)

(vii) p(x) =3x^{2 }-1,x= –\(\cfrac { 1 }{ \sqrt { 3 } } \) ,\(\cfrac { 2 }{ \sqrt { 3 } } \)

(viii) p(x) = 2x+1,x \(\cfrac { 1 }{ 2 }\)

**Solution:
**

**Ex 2.2 Class 9 Maths Question 4.**

**Find the zero of the polynomial in each of the following cases :**

(i) p(x) = x + 5

(ii) p(x) = x – 5

(iii) p(x) = 2x + 5

(vi) p(x) = 3x-2

(v) p(x) = 3x

(vi) p(x) = ax, a≠0

(vii) p(x) = cx + d, c≠0, c, d are real numbers.

**Solution:**

(i) We have, p(x) = x + 5

Now, p(x) = 0 => x + 5 = 0 => x = -5

∴ 5 is a zero of the polynomial p(x).

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