Hg
Name: Class 10 Date:
___________________________________________________________________________________________________________________________________
___________________________________________________________________________________________________________________________________
The Hg Classes (8
th
to 12
th
) By: Er Hershit Goyal (B.Tech. IIT BHU), 134-SF, Woodstock Floors, Nirvana Country, Sector 50, GURUGRAM +91 9599697178.
fb.me/thehgclasses linkedin.com/company/the-hg-classes instagram.com/the_hg_classes g.page/the-hg-classes-gurugram thehgclasses.co.in
Polynomials - 2
Total 20 marks, Time 50 mins.
1. If p and q are the zeroes of the quadratic polynomial f(x) = 3x
2
– 4x + 1, find a quadratic polynomial whose zeroes
are p
2
/q and q
2
/p. (4 marks)
2. If α and β are zeroes of 2x
2
– 5x + 3, then find the value of α – β. (3 marks)
3. If sum of the squares of zeroes of the quadratic polynomial f(x) = x
2
- 8x + k is 40 find value of k.
(3 marks)
4. Find zeros of a polynomial f(x) = x
2
+ 2√2x - 6 and verify relationship between zeros and coefficients.
(2 marks)
5. If one root of the polynomial (k-1)x
2
-10x + 3 is the reciprocal of the other root, then find value of k.
(2 marks)
6. State T or F: p(x) = (2x – 1)
3
– 8x
3
is a polynomial of degree 2. (1 mark)
7. The no. of polynomials having zeroes -2 and 5 is (1 mark)
a. 1 b. 2 c. 3 d. more than 3
8. If one of the zeroes of a quadratic polynomial x
2
+ ax + b is the negative of the other, then it (1 mark)
a. Has no linear term, constant term is -ve c. Has no linear term, constant term is +ve
b. Can have linear term, constant term is -ve d. Can have a linear term, constant term is +ve.
9. The graph of y = p(x) where p(x) is a polynomial in variable x, is as follows. The number of zeroes of p(x) is
______. (1 mark)
10. On dividing a polynomial p(x) by x
2
– 4, the quotient and remainder are found to be x and 3 respectively.
The polynomial p(x) is: (1 mark)
a) 3x
2
+ x -12 b) x
3
– 4x + 3 c) x
2
+ 3x – 4 d) x
3
– 4x - 3
11. Form a quadratic polynomial the sum and product of whose zeroes are (-3) and 2 respectively. (1 mark)
Hg
Name: Class 10 Date:
___________________________________________________________________________________________________________________________________
___________________________________________________________________________________________________________________________________
The Hg Classes (8
th
to 12
th
) By: Er Hershit Goyal (B.Tech. IIT BHU), 134-SF, Woodstock Floors, Nirvana Country, Sector 50, GURUGRAM +91 9599697178.
fb.me/thehgclasses linkedin.com/company/the-hg-classes instagram.com/the_hg_classes g.page/the-hg-classes-gurugram thehgclasses.co.in
Answers:
1. 9x
2
- 28x + 3
2. ½
3. k = 12
4. Zeroes are -3√2 , √2
5. k = 4
6. true
7. d.
8. a.
9. 5.
10. b.
11. x
2
+ 3x + 2
