NCERT Solutions for Class 10 Maths Exercise 2.2

NCERT Solutions for Class 10 Maths Exercise 2.2 Class 10 Maths book solutions are available in PDF format for free download. These ncert book chapter wise questions and answers are very helpful for CBSE board exam. CBSE recommends NCERT books and most of the questions in CBSE exam are asked from NCERT text books. Class 10 Maths chapter wise NCERT solution for Maths Book for all the chapters can be downloaded from our website and myCBSEguide mobile app for free.

NCERT solutions for Class 10 Maths Polynomials Download as PDF

 NCERT Solutions for Class 10 Maths Polynomials

1. Find the zeroes of the following quadratic polynomials and verify the relationship between the zeros and the coefficients.

(i)

(ii)

(iii)

(iv)

(v)

(vi)

Ans. (i)

Comparing given polynomial with general form ,

We get a = 1, b = -2 and c = -8

We have,

= x(x−4)+2(x−4) = (x−4)(x+2)

Equating this equal to 0 will find values of 2 zeroes of this polynomial.

(x−4)(x+2) = 0

⇒ x = 4, −2 are two zeroes.

Sum of zeroes = 4 – 2 = 2 =

=

Product of zeroes = 4 × −2 = −8

=

(ii)

Here, a = 4, b = -4 and c = 1

We have,

=

=2s(2s−1)−1(2s−1)
= (2s−1)(2s−1)

Equating this equal to 0 will find values of 2 zeroes of this polynomial.

⇒ (2s−1)(2s−1) = 0

⇒ s =

Therefore, two zeroes of this polynomial are

Sum of zeroes = = 1 =

=

Product of Zeroes =

(iii)

Here, a = 6, b = -7 and c = -3

We have,

= 3x(2x−3)+1(2x−3) = (2x−3)(3x+1)

Equating this equal to 0 will find values of 2 zeroes of this polynomial.

⇒ (2x−3)(3x+1) = 0

⇒ x =

Therefore, two zeroes of this polynomial are

Sum of zeroes =

Product of Zeroes =

(iv)

Here, a = 4, b = 8 and c = 0

Equating this equal to 0 will find values of 2 zeroes of this polynomial.

⇒ 4u(u+2) = 0

⇒ u = 0,−2

NCERT Solutions for Class 10 Maths Exercise 2.2

Therefore, two zeroes of this polynomial are 0, −2

Sum of zeroes = 0−2 = −2 =

=

Product of Zeroes = 0

=

(v)

Here, a = 1, b = 0 and c = -15

We have, ⇒ ⇒ t =

Therefore, two zeroes of this polynomial are

Sum of zeroes =

Product of Zeroes =

(vi)

Here, a = 3, b = -1 and c = -4

We have, =

= x(3x−4)+1(3x−4) = (3x−4)(x+1)

Equating this equal to 0 will find values of 2 zeroes of this polynomial.

⇒ (3x−4)(x+1) = 0

⇒ x =

Therefore, two zeroes of this polynomial are

Sum of zeroes =

Product of Zeroes =

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NCERT Solutions for Class 10 Maths Exercise 2.2

2. Find a quadratic polynomial each with the given numbers as the sum and product of its zeroes respectively.

(i) , −1

(ii) , 13

(iii) 0,

(iv) 1, 1

(v)

(vi) 4, 1

Ans. (i) , −1

Let quadratic polynomial be

Let α and β are two zeroes of above quadratic polynomial.

α+β = =

α × β = -1 =

Quadratic polynomial which satisfies above conditions =

(ii)

Let quadratic polynomial be

Let α and β be two zeros of above quadratic polynomial.

α+β = =

α × β = which is equal to

Quadratic polynomial which satisfies above conditions =

(iii) 0,

Let quadratic polynomial be

Let α and β be two zeros of above quadratic polynomial.

α+β = 0 =

α β = =

Quadratic polynomial which satisfies above conditions

(iv) 1, 1

Let quadratic polynomial be

Let α and β be two zeros of above quadratic polynomial.

α+β = 1 =

α β = 1 =

Quadratic polynomial which satisfies above conditions =

(v)

Let quadratic polynomial be

Let α and β be two zeros of above quadratic polynomial.

α+β = =

α β = =

Quadratic polynomial which satisfies above conditions =

(vi) 4, 1

Let quadratic polynomial be

Let α and β be two zeros of above quadratic polynomial.

α+β = 4 =

α × β = 1 =

Quadratic polynomial which satisfies above conditions

NCERT Solutions for Class 10 Maths Exercise 2.2

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