CBSE Class 10 Mathematics Polynomials Worksheet Set J

Read and download free pdf of CBSE Class 10 Mathematics Polynomials Worksheet Set J. Students and teachers of Class 10 Mathematics can get free printable Worksheets for Class 10 Mathematics Chapter 2 Polynomials in PDF format prepared as per the latest syllabus and examination pattern in your schools. Class 10 students should practice questions and answers given here for Mathematics in Class 10 which will help them to improve your knowledge of all important chapters and its topics. Students should also download free pdf of Class 10 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 10 Mathematics Chapter 2 Polynomials

Class 10 Mathematics students should refer to the following printable worksheet in Pdf for Chapter 2 Polynomials in Class 10. This test paper with questions and answers for Class 10 will be very useful for exams and help you to score good marks

Class 10 Mathematics Worksheet for Chapter 2 Polynomials

 

Polynomials

Q.- Find which of the following algebraic expression is a polynomial.

(i) 3x2 – 5x      (ii) x + 1/x

(iii) √ y – 8      (iv) z5 – 3√z + 8
 
Sol.
(i) 3x2 – 5x = 3x2 – 5x1
It is a polynomial.
 
(ii) x +1/x = x1 + x–1
It is not a polynomial.
 
(iii) √y – 8 = y1/2 – 8
Since, the power of the first term ( √y ) is 1/2, which is not a whole number.
 
(iv) z5 – 3√z + 8 = z5 – z1/3 + 8
 
Q.- Find the remainder when 4x3 – 3x2 + 2x – 4 is divided by
(a) x – 1    (b) x + 2    (c) x +1/2
 
Sol. Let p(x) = 4x3 – 3x2 + 2x – 4
(a) When p(x) is divided by (x – 1), then by remainder theorem, the required remainder will be p(1)
p(1) = 4 (1)3 – 3(1)2 + 2(1) – 4
= 4 × 1 – 3 × 1 + 2 × 1 – 4
= 4 – 3 + 2 – 4 = – 1
 
(b) When p(x) is divided by (x + 2), then by remainder theorem, the required remainder will be p (–2).
p(–2) = 4 (–2)3 – 3 (–2)2 + 2(–2) – 4
= 4 × (–8) – 3 × 4 – 4 – 4
= – 32 – 12 – 8 = – 52
polynomials notes 8
Q.- Find the zeroes of the quadratic polynomial 4x2 – 9 and verify the relation between the zeroes and its coefficients.
 
Sol. We have,
4x2 – 9 = (2x)2 – 32 = (2x – 3) (2x + 3)
So, the value of 4x2 – 9 is 0, when
2x – 3 = 0 or 2x + 3 = 0
i.e., when x =3/2
or x = – 3/2
Therefore, the zeroes of 4x2 – 9 are  3/2 & – 3/2
 
Sum of the zeroes
polynomials notes 9
Product of the zeroes
polynomials notes 10
 
Q.- Find the zeroes of the quadratic polynomial 9x2 – 5 and verify the relation between the zeroes and its coefficients.
 
Sol. We have,
9x2 – 5 = (3x)2 – ( √5 )2 = (3x – √5 ) (3x + √5 )
So, the value of 9x2 – 5 is 0,
when 3x – √5 = 0 or 3x +√ 5 = 0
i.e., when x =√ 5/3 
or x = -√ 5/3
 
Sum of the zeroes
 
polynomials notes 11
Product of the zeroes
polynomials notes 12
 
Q.- If α and β are the zeroes of the polynomial x2 + 4x + 3, form the polynomial whose  zeroes are 1 + β/α and 1 + α/β.
 
polynomials notes 13
polynomials notes 14
 
Short Answer Type Questions
 
Q. Find positive square root of 36x2 + 60x + 25
Ans- 6x + 5
 
Q. (x2 + 4y)2 + 21 (x2 + 4y) + 98
Ans- (x2 + 4y + 7) (x2 + 4y + 14)
 
Q. Find the value of k if (x – 2) is a factor of 2x3– 6x2+ 5x + k.
Ans- –2
 
Q. Find the value of k if (x + 3) is a factor of 3x2 + kx + 6.
Ans- 11
 
Q. For what value of k is y3 + ky + 2k – 2 exactly divisible by (y + 1) ?
Ans-  3
 
 

Please click the link below to download CBSE Class 10 Mathematics Polynomials Worksheet Set J

Chapter 01 Real Numbers
CBSE Class 10 Mathematics Real Numbers Worksheet Set D
CBSE Class 10 Mathematics Real Numbers Worksheet Set F
CBSE Class 10 Mathematics Real Numbers Worksheet Set G
CBSE Class 10 Mathematics Real Numbers Worksheet Set I
Chapter 02 Polynomials
CBSE Class 10 Mathematics Polynomials Worksheet Set B
CBSE Class 10 Mathematics Polynomials Worksheet Set C
CBSE Class 10 Mathematics Polynomials Worksheet Set D
CBSE Class 10 Mathematics Polynomials Worksheet Set E
CBSE Class 10 Mathematics Polynomials Worksheet Set F
CBSE Class 10 Mathematics Polynomials Worksheet Set G
CBSE Class 10 Mathematics Polynomials Worksheet Set H
CBSE Class 10 Mathematics Polynomials Worksheet Set I
CBSE Class 10 Mathematics Polynomials Worksheet Set J
Chapter 03 Linear Equations
CBSE Class 10 Mathematics Pair Of Linear Equations In 2 Variables Worksheet Set B
CBSE Class 10 Mathematics Pair Of Linear Equations In 2 Variables Worksheet Set H
CBSE Class 10 Mathematics Pair Of Linear Equations In 2 Variables Worksheet Set M
Chapter 04 Quadratic Equation
CBSE Class 10 Mathematics Quadratic Equation Worksheet Set A
CBSE Class 10 Mathematics Quadratic Equation Worksheet Set C
CBSE Class 10 Mathematics Quadratic Equation Worksheet Set D
CBSE Class 10 Mathematics Quadratic Equation Worksheet Set E
CBSE Class 10 Mathematics Quadratic Equation Worksheet Set F
CBSE Class 10 Mathematics Quadratic Equation Worksheet Set I
CBSE Class 10 Mathematics Quadratic Equation Worksheet Set J
CBSE Class 10 Mathematics Quadratic Equation Worksheet Set K
CBSE Class 10 Mathematics Quadratic Equation Worksheet Set L
CBSE Class 10 Mathematics Quadratic Equation Worksheet Set M
CBSE Class 10 Mathematics Quadratic Equation Worksheet Set N
CBSE Class 10 Mathematics Quadratic Equation Worksheet Set O
CBSE Class 10 Mathematics Quadratic Equation Worksheet Set P
Chapter 05 Arithmetic Progression
CBSE Class 10 Mathematics Arithmetic Progression Worksheet Set A
CBSE Class 10 Mathematics Arithmetic Progression Worksheet Set B
CBSE Class 10 Mathematics Arithmetic Progression Worksheet Set C
CBSE Class 10 Mathematics Arithmetic Progression Worksheet Set D
Chapter 06 Triangles
CBSE Class 10 Mathematics Triangles Worksheet Set A
CBSE Class 10 Mathematics Triangles Worksheet Set B
CBSE Class 10 Mathematics Triangles Worksheet Set C
CBSE Class 10 Mathematics Triangles Worksheet Set D
CBSE Class 10 Mathematics Triangles Worksheet Set E
CBSE Class 10 Mathematics Triangles Worksheet Set F
CBSE Class 10 Mathematics Triangles Worksheet Set G
CBSE Class 10 Mathematics Triangles Worksheet Set H
Chapter 07 Coordinate Geometry
CBSE Class 10 Mathematics Coordinate Geometry Worksheet Set A
CBSE Class 10 Mathematics Coordinate Geometry Worksheet Set B
CBSE Class 10 Mathematics Coordinate Geometry Worksheet Set C
CBSE Class 10 Mathematics Coordinate Geometry Worksheet Set D
CBSE Class 10 Mathematics Coordinate Geometry Worksheet Set E
CBSE Class 10 Mathematics Coordinate Geometry Worksheet Set F
CBSE Class 10 Mathematics Coordinate Geometry Worksheet Set G
CBSE Class 10 Mathematics Coordinate Geometry Worksheet Set H
Chapter 09 Applications of Trigonometry
CBSE Class 10 Mathematics Applications Of Trigonometry Worksheet Set A
CBSE Class 10 Mathematics Applications Of Trigonometry Worksheet Set B
CBSE Class 10 Mathematics Applications Of Trigonometry Worksheet Set C
CBSE Class 10 Mathematics Applications Of Trigonometry Worksheet Set D
CBSE Class 10 Mathematics Applications Of Trigonometry Worksheet Set E
CBSE Class 10 Mathematics Applications Of Trigonometry Worksheet Set F
CBSE Class 10 Mathematics Applications Of Trigonometry Worksheet Set G
CBSE Class 10 Mathematics Applications Of Trigonometry Worksheet Set I
CBSE Class 10 Mathematics Applications Of Trigonometry Worksheet Set J
CBSE Class 10 Mathematics Applications Of Trigonometry Worksheet Set O
CBSE Class 10 Mathematics Applications Of Trigonometry Worksheet Set P
CBSE Class 10 Mathematics Applications Of Trigonometry Worksheet Set R
Chapter 10 Circles
CBSE Class 10 Mathematics Circles Worksheet Set A
CBSE Class 10 Mathematics Circles Worksheet Set B
CBSE Class 10 Mathematics Circles Worksheet Set C
CBSE Class 10 Mathematics Circles Worksheet Set D
CBSE Class 10 Mathematics Circles Worksheet Set E
CBSE Class 10 Mathematics Circles Worksheet Set F
CBSE Class 10 Mathematics Circles Worksheet Set G
CBSE Class 10 Mathematics Circles Worksheet Set H
Chapter 12 Areas related to Circles
CBSE Class 10 Mathematics Areas Related To Circles Worksheet Set A
CBSE Class 10 Mathematics Areas Related To Circles Worksheet Set B
CBSE Class 10 Mathematics Areas Related To Circles Worksheet Set C
CBSE Class 10 Mathematics Areas Related To Circles Worksheet Set D
CBSE Class 10 Mathematics Areas Related To Circles Worksheet Set E
CBSE Class 10 Mathematics Areas Related To Circles Worksheet Set F
Chapter 13 Surface Area and Volume
CBSE Class 10 Mathematics Surface Area And Volume Worksheet
Chapter 14 Statistics
CBSE Class 10 Mathematics Statistics Worksheet Set A
CBSE Class 10 Mathematics Statistics Worksheet Set B
CBSE Class 10 Mathematics Statistics Worksheet Set C
CBSE Class 10 Mathematics Statistics Worksheet Set D
CBSE Class 10 Mathematics Statistics Worksheet Set E
CBSE Class 10 Mathematics Statistics Worksheet Set F
CBSE Class 10 Mathematics Statistics Worksheet Set G
CBSE Class 10 Mathematics Statistics Worksheet Set H
CBSE Class 10 Mathematics Statistics Worksheet Set I
CBSE Class 10 Mathematics Statistics Worksheet Set J
Chapter 15 Probability
CBSE Class 10 Mathematics Probability Worksheet Set A
CBSE Class 10 Mathematics Probability Worksheet Set C
CBSE Class 10 Mathematics Probability Worksheet Set G
Other Topics
CBSE Class 10 Mathematics Number Systems Worksheet

Worksheet for CBSE Mathematics Class 10 Chapter 2 Polynomials

We hope students liked the above worksheet for Chapter 2 Polynomials designed as per the latest syllabus for Class 10 Mathematics released by CBSE. Students of Class 10 should download in Pdf format and practice the questions and solutions given in the above worksheet for Class 10 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 10 Mathematics to develop the Mathematics Class 10 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 10 Mathematics designed by our teachers. We have also provided a lot of MCQ questions for Class 10 Mathematics in the worksheet so that you can solve questions relating to all topics given in each chapter.

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