# 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)

Worksheets have become an integral part of the education system. Worksheets are very critical for every student to practice his/ her concepts. Students, teachers and parents can download all CBSE educational material and extremely well prepared worksheets from this website. All revision worksheets, Sample papers, Question banks and easy to learn study notes for all classes and subjects have been prepared based on the latest guidelines sent by CBSE. All CBSE educational material is developed by our panel of teachers, have also been submitted by thousands of teachers and students. The study material has been carefully compiled by the best teachers in India. Worksheets have been submitted by teachers of various CBSE schools and also have been carefully developed keeping into consideration the latest CBSE syllabus.

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)

Please click the below link to access CBSE Class 9 Mathematics Worksheet - Polynomials (2)

## Tags:

Click for more Polynomials Study Material
 CBSE Class 9 Mathematics Polynomials Worksheet Set B CBSE Class 9 Mathematics Polynomials Worksheet Set C CBSE Class 9 Mathematics Polynomials Worksheet Set D CBSE Class 9 Mathematics Polynomials Worksheet Set E CBSE Class 9 Mathematics Polynomials Worksheet Set F CBSE Class 9 Mathematics Polynomials Worksheet Set G CBSE Class 9 Mathematics Polynomials Worksheet Set A

## Latest NCERT & CBSE News

Read the latest news and announcements from NCERT and CBSE below. Important updates relating to your studies which will help you to keep yourself updated with latest happenings in school level education. Keep yourself updated with all latest news and also read articles from teachers which will help you to improve your studies, increase motivation level and promote faster learning

### CBSE Term 2 Board Examinations

CBSE vide Circular No.Acad-51/2021 dated 5th July, 2021, notified that in the session 2021-2022, Board Examinations would be conducted in two terms, i.e.. Term I and Term II. This decision was taken due to the uncertainty arising out of COVID 19 Pandemic. Term I...

### Class 10th and 12th Term 2 Revaluation Process 2022

Evaluation of the Answer Books is done under a well-settled Policy. To ensure that the evaluation is error free, CBSE is taking several steps. After strictly following these steps, the result is prepared. Though, CBSE is having a well-settled system of assessment,...

### Board Exams Date Sheet Class 10 and Class 12

Datesheet for CBSE Board Exams Class 10  (Scroll down for Class 12 Datesheet) Datesheet for CBSE Board Exams Class 12

### Celebration of Matribhasha Diwas Mother Language day

UNESCO has declared 21st February of every year to be celebrated as International Mother Language day to promote dissemination of Mother Language of all, create awareness of linguistic and cultural traditions and diversity across the world and to inspire solidarity...