In this page we have *NCERT book Solutions for Class 10th Maths:Polynomials* for
Exercise 2.2 on page 33 . Hope you like them and do not forget to like , social_share
and comment at the end of the page.

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

(i) x

(ii) 4s

(iii) 6x

(iv) 4u

(v)t

(vi) 3x

(i) x

= x

= (x - 4) (x + 2)

Therefore, the zeroes of x

(ii) 4s

From (a-b)

= (2s-1)

Therefore, the zeroes of 4s

(iii) 6x

= 6x

= 6x

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

Therefore, the zeroes of 6x

(iv) 4u

= 4u

= 4u(u + 2)

Therefore, the zeroes of 4u

(v) t

From (a

= (t - √15) (t + √15)

Therefore, the zeroes of t

(vi) 3x

=3x

= (3x - 4) (x + 1)

Therefore, the zeroes of 3x

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

(i) 1/4, -1

(ii) √2, 1/3

(iii) 0, √5

(iv) 1,1

(v) -1/4 ,1/4

(vi) 4,1

(i) 1/4 , -1 Let the polynomial be ax

p + q = 1/4 = -b/a

pq = -1 = -4/4 = c/a

Now we have two method to find the quadratic polynomial

The polynomial can be written as

k[x

So,

$k[x^2 - (\frac {1}{4})x -1]$

Taking k=4

$4x^2 -x -4$

If we take a= 4, then b = -1, c= -4

Therefore, the quadratic polynomial is 4x

We could choose any of the method to get the polynomial

(ii) √2 , 1/3

Let the polynomial be ax

p + q = √2 = 3√2/3 = -b/a

pq = 1/3 = c/a

If a = 3, then b = -3√2, c = 1

Therefore, the quadratic polynomial is 3x

(iii) 0, √5

Let the polynomial be ax

p + q = 0 = 0/1 = -b/a

pq = √5 = √5/1 = c/a

If a = 1, then b = 0, c = √5

Therefore, the quadratic polynomial is x

(iv) 1, 1

Let the polynomial be ax

p + q = 1 = 1/1 = -b/a

pq = 1 = 1/1 = c/a

If a = 1, then b = -1, c = 1

Therefore, the quadratic polynomial is x

(v) -1/4 ,1/4

Let the polynomial be ax

p + q = -1/4 = -b/a

pq = 1/4 = c/a

If a = 4, then b = 1, c = 1

Therefore, the quadratic polynomial is 4x

(vi) 4,1

Let the polynomial be ax

p + q = 4 = 4/1 = -b/a

pq = 1 = 1/1 = c/a

If a = 1, then b = -4, c = 1

Therefore, the quadratic polynomial is x

- NCERT book Solutions for Class 10th Maths:Polynomials Exercise 2.2 has been prepared by Expert with utmost care. If you find any mistake.Please do provide feedback on mail. You can download the solutions as PDF in the below Link also

Download Class 10 Polynomials Exercise 2.2 as pdf - This chapter 2 has total 4 Exercise 2.1 ,2.2,2.3 and 2.4. This is the Second exercise in the chapter.You can explore previous exercise of this chapter by clicking the link below

**Notes****NCERT Solutions****Assignments**

Class 10 Maths Class 10 Science