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CBSE Assignments class 09 Mathematics

  Mathematics Assignments & Worksheets  For  Class IX Chapter-wise mathematics assignment for class 09. Important and useful extra questions strictly according to the CBSE syllabus and pattern with answer key CBSE Mathematics is a very good platform for the students and is contain the assignments for the students from 9 th  to 12 th  standard.  Here students can find very useful content which is very helpful to handle final examinations effectively.  For better understanding of the topic students should revise NCERT book with all examples and then start solving the chapter-wise assignments.  These assignments cover all the topics and are strictly according to the CBSE syllabus.  With the help of these assignments students can easily achieve the examination level and  can reach at the maximum height. Class 09 Mathematics    Assignment Case Study Based Questions Class IX 

Math Assignment Class IX Ch-2 | Polynomials

 Maths Assignment Class 9th 
Chapter 2  Polynomials

Mathematics Assignment for Class IX Ch -2, Polynomials, strictly according to the CBSE syllabus. Math worksheet based on the topic Polynomial. 

Mathematics Assignment on Polynomials 

Class IX Chapter 2

1. Find the value of p(x) = 3x- 2x + 8 at

a)  x = 0     
b)  x = -2                      
c)  x = 3                
d)  x = -5

2. Find the remainder when x3-3x2+3x-1 is  divided by

a)     x - 1         Ans 0
b)   x + 1         Ans -8                                





f)    3-x           Ans 8

3. a)Show that 2x - 3 is a factor of 2x- 9x+ x + 12.

   b)Show that x+2 is a factor of x- x- 12.

Hint: Find the remainder. If remainder = 0 then given function the the factor of the given polynomial otherwise not.


4. Find the value of k if x+1 is a factor of
a) 3x – kx + √3         Ans   -3 - √3
b) √2x – kx + k + 2  Ans  
c) k – kx + Kx         Ans 0
d) x - 3x + kx          Ans - 4
5) Find “a” if x+1 is a factor of  ax3 - 9x2 + x + 6a        Ans:- 2
6) If (x -2)and(x + 3) are factors of p(x) = ax+ 3x- bx - 12.  Find a and b.     
Ans: a = 1, b = 4

7. If x - 5 is a factor of x+ ax+ bx - 20  and leaves a remainder -2 when divided by x - 3. Find a and b.
Ans (-9, 24)

8. Factorize:

a) x+ 11x + 30      : Ans  (x + 5)(x + 6)

b) a- 16a + 63       : Ans  (a - 7)(a - 9)

c)15 - 2x - x2           : Ans    (3 - x)(5 + x)

d) 3 + 5x - 2x2       : Ans   (1+ 2x)(3 - x)                                                        

e) 3m- 20m - 7   : Ans  (3m+1)(m - 7)                            

f) 24m+ m - 23      : Ans (m + 1)(24m - 23)

g) 2x+ 11xy - 21y    : Ans    (x + 7y)(2x - 3y)                            

h) 7(x + y)2 + 48(x + y) - 7       : Ans  (x + y + 7)(7x + 7y - 1)

I) 2m4n - 6m2n + 4n                 : Ans  2n(m+1)(m-1)(m2-2)                        

 j) 36(a+3b)- 36(2a-3b)2   : Ans  (16a+3b)(33b-4a)

k) x+ 3x- 4x + 12                   : Ans (x - 2)(x + 2)(x + 3)                          

l) 2x- 9x +x + 12                   : Ans  (x + 1)(x - 4)(2x - 3)

m) x-3x-10x+24              : Ans   (x + 3)(x - 4)(3x - 2)                            

n) 2x-7x- 3x + 18               : Ans  (x - 2)(x - 3)(2x + 3)

o) 3x+ x - 38x + 24               : Ans   (x - 3)(x + 4)(3x - 2)                          

p)(x3 - (y - z)3)              : Ans  (x – y + z)(x2 + y2 + z2 - 2yz – xy - xz)

  

9.  Evaluate by using identity:

a)   92×108        Ans:- 9936

b)  6.7×5.3        Ans:- 35.51

c)104×107        Ans:- 11128

10.Factorize:

a)  8x- 125y- z- 30xyz                            

b)  125x- 8 + 27y+ 90xy      

c)  3√3a3 - 5√5b3 - 8c3 - 6√15abc           

d)  (5a - 4b)3 + (4b - 6c)+ (6c - 5a)3

e)  a+ (a - 1)+ (1 - 2a)3                                                     

f)  (3x + 3y - 5z)+ (2y + 3z - 5x)+ (2z + 2x - 5y)3

g)  (2x + y)3 - (x + y)3                      

h)  64m6-n6  : Ans:  (2mn + n)(4m - 2mn + n)(2m - n)(4m + 2mn + n)

11.Evaluate by using identity:

a)  (-15)3 + (-13)3 + (28)3     Ans: 16380
b)  (75)3 + (-50)3 + (-25)3          Ans: 281250

12.Simplify:  
       

13.If   a = 1 - √2, find  the value of    Ans: 8

14.If a+ b+ c= 3abc  and a + b + c = 0 then show that



15. If              
16.  Evaluate:  
17.  If     =  83, then find          Ans:  756
18.  If   , then find the value of        Ans: 52
19).  If    ,  then find the value of       Ans: 36
20.  If  , then find the value of      Ans :  
21.  Find the value of                Ans : 
22.  If  , then find the value of         Ans:  
23.  If   , then find          
24)  If    , then find            [Ans 6 ]
25.  Find the remainder when x4 + 3x2 + 3x + 1 is divided by x+1   [Ans : 2]

26.  If x3 + ax2+ bx + 6 has (x - 2) as a factor and leaves remainder 3, when divided by (x – 3), find a and b      Ans[a = -3,b = -1]

27.  For what value of a is 2x3 + ax2 + 11x + a + 3 divided by 2x - 1     Ans[a = -7 ]


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  1. Very very nice assigament, thank ku so much.

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