CBSE Class 9 Mathematics Polynomials Worksheet Set B

Read and download free pdf of CBSE Class 9 Mathematics Polynomials Worksheet Set B. Students and teachers of Class 9 Mathematics can get free printable Worksheets for Class 9 Mathematics Chapter 2 Polynomials in PDF format prepared as per the latest syllabus and examination pattern in your schools. Class 9 students should practice questions and answers given here for Mathematics in Class 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 Mathematics Worksheets prepared by teachers as per the latest Mathematics books and syllabus issued this academic year and solve important problems with solutions on daily basis to get more score in school exams and tests

Worksheet for Class 9 Mathematics Chapter 2 Polynomials

Class 9 Mathematics students should refer to the following printable worksheet in Pdf for Chapter 2 Polynomials in Class 9. This test paper with questions and answers for Class 9 will be very useful for exams and help you to score good marks

Class 9 Mathematics Worksheet for Chapter 2 Polynomials

Question. The factors of x3 + 9x2 + 23x + 15 are
(a) (x + 1), (x + 3), (x + 5)
(b) (x + 1), (x + 3), (x – 5)
(c) (x + 1), (x – 3), (x – 5)
(d) (x – 1), (x – 3), (x – 5)
Answer : A

Question. A cubic polynomial cannot have more than ______ zeroes.
(a) 0
(b) 1
(c) 2
(d) 3
Answer : D

Question. If p(x) = x51 + 51, then value of p(–1) is
(a) 0
(b) 1
(c) 49
(d) 50
Answer : D

Question. Which of the following is a cubic polynomial?
(a) 2x + √3 + x4
(b) – x – x2 – 7x3
(c) 9
(d) 2 – 3x2 – 9x
Answer : B

Question. The value of (369)2 –(368)2 is
(a) 12
(b) 81
(c) 37
(d) 737
Answer : D

Question. Factors of (42 – x – x2) are
(a) (x – 7), (x – 6)
(b) (x + 7), (x – 6)
(c) (x + 7), (6 – x)
(d) (x – 7), (x + 6)
Answer : C

Question. The value of the polynomial 5x – 4x2 + 3, when x = – 1 is
(a) – 6
(b) 6
(c) 2
(d) – 2
Answer : A

Question. Degree of the polynomial p(x) = (x + 2)(x – 2) is
(a) 2
(b) 1
(c) 0
(d) 3
Answer : A

Question. If x = –2 and x2 + y2 + 3xy = –5, then find y.
(a) –2
(b) 3
(c) – 4
(d) 9
Answer : B

Question. Simplify : x3 - 4 - x + 4x2x2 + 3x - 4
(a) 4 + x
(b) 2 + x
(c) 1 – x
(d) x + 1
Answer : D

Question. The common quantity that must be added to each term of a2 : b2 to make it equal to a : b is
(a) ab
(b) a + b
(c) a – b
(d) a/b
Answer : A

Question. Find the value of x + y + z, if x2 + y2 + z2 = 18 and xy + yz + zx = 9.
(a) 9
(b) 3
(c) 6
(d) 8
Answer : C

Question. Number of terms in the polynomial 4x3 + 3x2 – 6x + 7 is
(a) 1
(b) 2
(c) 3
(d) 4
Answer : D

Question. Degree of polynomial 2x3 +√3x + (1/3) x5 − 7 is
(a) 1
(b) 3
(c) 0
(d) 5
Answer : D

Question. If f(x) = x3 – 3x2 + 4x + 50, then f(–3) =
(a) –16
(b) –12
(c) –20
(d) –10
Answer : A

Question. If p(x) = x3 + 3x2 – 2x + 4, then find the value of [p(2) + p(–2) – p(0)].
(a) 28
(b) 14
(c) 12
(d) 16
Answer : A

Question. (x + y)3 – (x – y)3 – 6y(x2 – y2) =
(a) y3
(b) 2y3
(c) 4y3
(d) 8y3
Answer : D

Question. If p(x) = x2 − 2√2x +1, then p(2√2) =
(a) 0
(b) 1
(c) 4 2
(d) –1
Answer : B

Question. If a + b + c = 0, then a3 + b3 + c3 is equal to
(a) 0
(b) abc
(c) 3abc
(d) 2abc
Answer : C

Question. √2 is a polynomial of degree
(a) 2
(b) 0
(c) 1
(d) 1/2
Answer : B

Case Based MCQs

Case I : Read the following passage and answer the questions from 1 to 5.
Ankur and Ranjan start a new business together.
The amount invested by both partners together is given by the polynomial p(x) = 4x2 + 12x + 5, which is the product of their individual shares.

""CBSE-Class-9-Mathematics-Polynomials-Worksheet-Set-B

1. Coefficient of x2 in the given polynomial is
(a) 2
(b) 3
(c) 4
(d) 12
Answer : C

2. Total amount invested by both, if x = 1000 is
(a) ₹ 301506
(b) ₹ 370561
(c) ₹ 4012005
(d) ₹ 490621
Answer : C

3. The shares of Ankur and Ranjan invested individually are
(a) ₹ (2x + 1), ₹ (2x + 5)
(b) ₹ (2x + 3), ₹ (x + 1)
(c) ₹ (x + 1), ₹ (x + 3)
(d) None of these
Answer : C

4. Name the polynomial of amounts invested by each partner.
(a) Cubic
(b) Quadratic
(c) Linear
(d) None of these
Answer : C

5. Find the value of x, if the total amount invested is equal to 0.
(a) –1/2
(b) –5/2
(c) Both (a) and (b)
(d) None of these
Answer : C

 

Q.1 Factorize the following by splitting the middle term:

(a) 3x2 + 11x+30 (b) 22 x2 +9x+52 (c) 4x2 - 13x + 10 Q.2 Factorize the following by Factor theorem:

(a)x3+9 x2 +23x+15 (b) x3+6 x2 +11x+6

Q.3 Factorize the following by using a suitable identity:

(a) 4x2 + 12xy + 9y2 (b) 2a5 – 54 a2 (c) 22x3 + 3 3 y3 (d) x5- x (e) x6 – y6 (f) (a-b)3 + (b-c)3 +(c-a)3 (f) x8-y8 (g) 27x3-135x2 +225x -125

Q.4 Evaluate the following using a suitable identity:

(a) 9983 (b) 10.23 (c) 9.83 (d) 9982-4 (e) 9992 -1 (f) (-25)3 + 10 3 +15 3 (g) 10.2 * 9.8

Q.5 If 5 is a zero of x3 + kx2 + 2x +8 find k.

Q.6 If (x-2) is a zero of of x3 -4x2 + kx -8 find k.

Q.7 If ( x-2 ) and (x +3) are factors of x3 + ax2 +bx -30, find a and b.

Q.8 If x+y+ z = 8 and xy +yz+zx = 20 find the value of x3+y3+z3 -3xyz.

Q.9 If a+b+c = 9 and a2 +b2+c2 =35 find the value of a3+b3+c3 – 3abc.

Q.10 Find the value of 2.73 -1.63-1.13 using a suitable identity.

Q.11 Factorize the following by using a suitable identity:

(a) a3 +b3 – 8c3 + 6abc (b) (a/b)3 + (b/c)3 + (c/a)3 -3 (c) 8x3 -27y3 + 125 z3 + 90xyz

Q.12 Find the value of a3 + 8b3 if a + 2b = 10 and ab =15.

Q.13 Find the value of a3 -27b3 if a - 3b =( -6) and ab = (-10)

Q.14 Find the values of m and n if y2-1 is a factor of y4 + my3 +2y2 -3y +n.

Q.15 (x +2 ) is a factor of mx3 +nx2+x-6. It leaves the remainder 4 when divided by (x-2). Find m and n.

Q.16 The polynomials kx3 + 3x2 -3 and 2x3 – 5x +k leave the same remainder when divided by (x-4). Find k.

Q.17 Factorize : x3 + 1/x3 - 2

Q.18 If ab + bc+ ca = 10 and a2 +b2 +c2 = 44 find a3 +b3 +c3 -3abc.

Q.19 Show that x-2 is a factor p(x) = x3-12x2+ 44x-48

Q.20 Factorize x3-2x2-5x+6

Q.21 If x+p is a factor of p(x) = x5-p2x3+2x+p+1 find the value of p

Q.22 Factorize: (a) a2 + 1/a2 +2 (b) 3(x+2)2 + 17(x+2) +10 (c)4x2 – 9 y2 + 20x + 25

Prepared by: ROY MATHEW

Please click the below link to access CBSE Class 9 Mathematics Worksheet - Polynomials (1)

Worksheet for CBSE Mathematics Class 9 Chapter 2 Polynomials

We hope students liked the above worksheet for Chapter 2 Polynomials designed as per the latest syllabus for Class 9 Mathematics released by CBSE. Students of Class 9 should download in Pdf format and practice the questions and solutions given in the above worksheet for Class 9 Mathematics on a daily basis. All the latest worksheets with answers have been developed for Mathematics by referring to the most important and regularly asked topics that the students should learn and practice to get better scores in their class tests and examinations. Expert teachers of studiestoday have referred to the NCERT book for Class 9 Mathematics to develop the Mathematics Class 9 worksheet. After solving the questions given in the worksheet which have been developed as per the latest course books also refer to the NCERT solutions for Class 9 Mathematics designed by our teachers. We have also provided a lot of MCQ questions for Class 9 Mathematics in the worksheet so that you can solve questions relating to all topics given in each chapter.

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