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 - 1
Total 20 marks, Time 50 mins.
1. If the two zeroes of the polynomial x
4
– 6x
3
– 26x
2
+ 138x – 35 are 2 ±
√
3, find other zeroes. (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. Show that (x – 2) a factor of polynomial 3x
3
– 7x
2
+ 10x – 16. (2 marks)
6. If one root of 5x
2
+ 13x + k = 0 is the reciprocal of the other root, then find value of k. (2 marks)
7. 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)
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. -5, 7
2. ½
3. k = 12
4. Zeroes are -3√2 , √2
5. Show that p(2) = 0 using factor theorem
6. k = 5
7. 9x
2
- 28x + 3
