Scribd
Upload
2K views2 pages

Class-X Ch-2 Polynomials (Maths Assignment)

The document contains a math assignment on polynomials with 17 questions covering topics like: 1) Dividing polynomials and verifying the division algorithm 2) Finding zeros of polynomials and verifying relationships between coefficients and zeros 3) Solving problems involving division, multiplication and addition of polynomials 4) Finding conditions for polynomials zeros to be in arithmetic progression

Uploaded by

Rahul
Copyright
© © All Rights Reserved
We take content rights seriously. If you suspect this is your content, claim it here.
Available Formats
Download as DOCX, PDF, TXT or read online on Scribd
2K views2 pages

Class-X Ch-2 Polynomials (Maths Assignment)

The document contains a math assignment on polynomials with 17 questions covering topics like: 1) Dividing polynomials and verifying the division algorithm 2) Finding zeros of polynomials and verifying relationships between coefficients and zeros 3) Solving problems involving division, multiplication and addition of polynomials 4) Finding conditions for polynomials zeros to be in arithmetic progression

Uploaded by

Rahul
Copyright
© © All Rights Reserved
We take content rights seriously. If you suspect this is your content, claim it here.
Available Formats
Download as DOCX, PDF, TXT or read online on Scribd
You are on page 1/ 2

Class-X Ch-2 Polynomials (Maths Assignment)

1. Divide x3-3x2-x+3 by x+1 and verify the division algorithm.


2. Verify that 3,-1,- are the zeros of cubic poly. P(x)= 3x3-5x2-11x-3 and then verify
the relationship between the zeros and coeffs.
3. Find all the zeros of 2x4-3x3-3x2+6x-2 if two of its zeros are 2 and  2 .
4. On dividing x4+x3-2x2-5x-15 by the poly. g(x), the quotient and remainder were x2-5 and
zero resp, find g(x)
5. Give one example of poly p(x),g(x),q(x) and r(x) which satisfy the division algorithm
P(x)=g(x),q(x) and r(x) deg r(x)< deg g(x)' and deg p(x)= deg g(x)+1
6. Obtain all the zeros of poly. 3x3-5x2-11x-3
7. If the poly 6x4+8x3+17x2+21x+7 is divided by another polynomial 3x2+4x+1 the
remainder comes out to be (ax+b) find a and b.
1 1
.
8. If  ,  are zeros of poly 4x2+3x+7 find the value (i)  2+  2 (ii)   

9. If  ,  are zeros of x2-6x+k . What is value of k if 3 +2  =20


10. Find zeros of x2- 4 3 x-15 by factorisation method & verify relation between
zeros & coeffs. Of poly.

11. If  ,  are zeros of poly P(x) = x2-5x+k such that  -  =1, find the value of k.

21
12. If  ,  are zeros of poly P(x)=2x2+5x+k. Satisfying the relation  2+  2+  = 4
then find the value of k for this is to be possible.

13. If  ,  are zeros of quad. Poly f(x)=x2-px+q prove that

 
  =

14. If  ,  are zeros of quad. poly

f(x)=x2-p(x+1)-c show that ( +1) (  +1)=1-c


15. If  ,  are zeros of quad. poly

1 1
f(x)=x2-3x-2 find a quad. Poly where zeros are 2   and 2 

16. Find the condition that zeros of poly

f(x)=x3+3px2+3qx+r may be in A.P

17. Find zeros of x3+5x2-2x-6 if two of its zeros are  2

18. Write the zeros of 4x2-7

19. Write the zeros of 100x2 - 81


Answers:

1. Q= x2-4x+3, R=0

1
3. 2 and 1

4. x2+x+3
5. Any

3
6. 3,  5

7. a=1,b=2

8. 9  14  9  56  47 (i)  47 (ii)  3


6 4 16 16 16 7

9.  =8,  =-2, k= -16 .

10. x=-5 3 , 3

11. k=6

12. k=2

9 1
15. f(x)=x2 - 16 x + 16

16. 2p2-3pq+r=0
17. + 2 ,- 2 ,-3

7
18.  2

9
19. 10

You might also like