Question

Subject : Maths

Chapter – 2

Polynomials

Std : 10th (English Medium)

No. Question Answer Year

1

Find the polynomials whose zeroes are

3 3

,

2 2

  

1 2

2 3

2

x 

2011

2 Find the polynomials whose zeroes are

5 19 and 5 19   2

x x   10 6

2011

3 Divide the polynomial

3 2 2

x x x x x      6 14 10 by 3 2

and verify the result by division

algorithm.

2011

4 On dividing p(x) by a polynomial

2

x x  1

, the quotient and remainder were

x  2

and

3 respectively. Find p(x) .

3 2     x x x 3 3 5

2011

5 If



and



are the roots of the polynomial

2

6 7 3 x x   , then form a quadratic

polynomial whose roots are

1 1 and

 

.

 

1 2

3 7 2

3

x x  

2011

6 Given that

x  5

is a factor of the polynomial

3 2

x x x    3 5 5 15 5

, find all the

zeroes of the polynomial.

 5, 5,3 5

2012

7 If the sum of zeroes of the polynomial

2

3 6 x kx  

is 3, then find the value of k. 9 2012

8 Find the polynomials whose zeroes are

3 2 and 3 2   .

2

x x   6 7

2012

9 If the zeroes of the polynomial

2

x px q  

are double in value to the zeroes of

2

2 5 3 x x   , find the values of p and q.

2

x x   5 6

2012

10

Find the polynomials whose zeroes are

3 5 3 5 and

5 5

 

.

1 2

(25 30 4)

25

x x  

2013

11 Find the polynomials whose zeroes are -2 and -5. Verify the relationship between

zeroes and coefficients of the polynomial.

2

x x   7 10

2013

12 Show that

1 3 and

2 2



are the zeroes of the polynomial

2

4 4 3 x x  

and verify the

relationship between zeroes and coefficients of polynomials.

2013

13 Divide

2

3 5 1 by 2 x x x   

and verify the division algorithm. 2013

14 Find a quadratic polynomial, the sum and product of whose zeroes are

1

3 and

3

.

2

3 3 1 0 x x   

2014

15 Find the zeroes of the polynomial

2

3 75 x  and verify the relationship between zeroes

and coefficients of polynomials.

5, -5 2014​

Answer 1

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