CBSE Class 9 Mathematics Polynomials Worksheet Set C

Read and download free pdf of CBSE Class 9 Mathematics Polynomials Worksheet Set C. Students and teachers of Class 9 Polynomials can get free printable Worksheets for Class 9 Polynomials in PDF format prepared as per the latest syllabus and examination pattern in your schools. Standard 9 students should practice questions and answers given here for Polynomials in Grade 9 which will help them to improve your knowledge of all important chapters and its topics. Students should also download free pdf of Class 9 Polynomials Worksheets prepared by school teachers as per the latest NCERT, CBSE, KVS books and syllabus issued this academic year and solve important problems provided here with solutions on daily basis to get more score in school exams and tests

Polynomials Worksheet for Class 9

Class 9 Polynomials students should refer to the following printable worksheet in Pdf in standard 9. This test paper with questions and answers for Grade 9 Polynomials will be very useful for exams and help you to score good marks

Class 9 Polynomials Worksheet Pdf

CBSE Class 9 Mathematics Worksheet - Polynomials (2)

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1) Find the zeros of the polynomial (a) X2 + 7x + 10 (b) x2 - 25

2) Factorize: a) 9992 - 1 b) (10.2)3 C) 1002 X 998

3) Factorize: a) x3 – 3x2 – 9x – 5 b) x3 + 7x2 – 21x – 27

4) Factorise: (a) 3x2 + 27y2 + z2 - 18xy + 6 √3yz -2 √3zx (b) 27 x3 + 125y3 (c) (2a – 3b + c )2

(d) 1 a3 + b3 + 125 c3 - 15 a b c (e) [x – 1/x y]3 (f) x4 y4 – x y

64 4

(g) 8x3 – (2x – y)3 (h) a6 _ b6

5) Using factor theorem, Show that (a - b) is the factor of a (b2-c2) +b (c2-a2) + c (a2-b2)

6) Factorize: (a) 4√3x2 + 5x - 2√3 (b) 21x2 – 2x + 1/21 (c) 9(2a – b)2 – 4(2a – b) – 13

7) Simplify and factorise (a + b + c)2 _ ( a – b – c )2 + 4b2 – 4c2

8) Factorise: (a2 – b2)3 + (b2 – c2)3 + (c2 – a2)3

9) For what value of a is 2x3 + ax2 + 11x + a + 3 exactly divisible by (2x – 1) (-7)

10) If x – 2 is a factor of a polynomial f(x) = x5 – 3x4 – ax3 + 3ax2 + 2ax + 4, then find the value of a

11) Find the value of a and b so that x2 – 4 is a factor of ax4 + 2x3 – 3x2 + b x – 4 (1, -8)

12) If x = 2 and x = 0 are zeroes of the polynomial 2x3 – 5x2 + p x + b, then find the value of p and b

13) Find the value of a and b so that polynomial x3 –ax2 -13x + b is exactly divisible by (x-1) as well as (x+3) (3, 15)

14) The polynomial x3 – mx2 + 4x + 6 when divided by (x+2) leaves remainder 14 find the value of m

15) If the polynomial ax3 + 3x2 -13 and 2x3 – 5x + a when divided by (x – 2) leave the same remainder, find the Value of a

16) If both (x – 2) and (x – ½) are factors of px2 + 5x + r, show that p = r

17) If f(x) = x4 – 2x3 + 3x2 – ax + b is divided by x-1 and x+1 the remainders are 5 and 19 respectively, then find a and b

18) If A and B be the remainders when the polynomials x3 + 2x2 – 5ax – 7 and x3 + ax2 – 12x + 6 are divided by (x + 1) and (x – 2)

Respectively and 2A + B = 6, find the value of a (2) 19) Show that x +1 and 2x – 3 are factors of 2x3 – 9x2 + x + 12

20) If sum of remainders obtained by dividing ax3 – 3ax2 + 7x + 5 by (x-1) and (x+1) is -36 the find a (22/3)

21) By using suitable identity, find the value of:

(a) (-6)3 + 133+ (-7)3 (b) (-21)3 + (28)3 (c) (9.8)3 – (11.3)3 + (1.5)3 (d) (8/15)3 + (-1/3)3 + (-1/5)3

22) Find the remainder when 9x3 – 3x2 + x – 5 is divided by x – 2

3

23) Find the remainder when x51 + 51 is divided by x + 1 (50)

24) Find the remainder when x3 – px2 + 6x – p is divided by (x – p)

25) Find the value of x3 + y3 + 15xy – 125 when x + y = 5 (0)

26 Find the value of p3 – q3 , if p – q = 5/7 and p q = 7/3 (1840/343)

27) If a + b+ c =8, a2 +b2 + c2 = 30. Find the value of a b + b c + c a (17)

28) If 2x + 3y = 13 and x y = 6 then, find 8x3 + 27y3 (793)

29) Find the value of a3 + b3 +c3 – 3abc, when a + b + c = 8 and a b + b c +c a = 25 (-88)

30) Find the value of x3 + y3 + z3 – 3xyz, if x + y + z = 12 and x2 + y2 + z2 =70 (396)

31) If x + y + z = 1, x y + y z + z x = -1 and xyz = -1, find the value of x3 + y3 +z3 (1)

32) If (a + b)2 = 2a2 + 2b2, show that a = b

33) If (a + b + c) = 0, then prove that a3 + b3 +c3 = 3abc

34) Prove that 2x3 +2y3 + 2z3 – 6xyz =(x + y + z) [(x – y )2 + ( y – z )2 + ( z – x )2 ]

35) Give possible expressions for the length and breadth of each of the following rectangles, in which their areas are given

25a2 – 35a + 12

36) Simplify: x + y 3 - x - y 3 (2/15x2y + 2/15y3)

3 5 3 5

37)Simplify : (a + b + c)2 + (a – b + c)2 + ( a + b - c)2

38)What must be subtracted from 4x4 – 2x3 – 6x2 + x – 5, so that the result is exactly divisible by 2x2 + x - 1 (- 6)

39) find the dimensions of a cuboid, whose volume is 2py2 + 6py - 20p

40) If p(x) = x2 – 4x+ 3, evaluate p(2) – p(-1) + p(1/2)

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