CBSE Class 10 Mathematics Polynomials Worksheet Set C

Read and download free pdf of CBSE Class 10 Mathematics Polynomials Worksheet Set C. 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

Case Study Based Questions

IV. A student of class Xth are interested in drawing so he draw some mathematical shape on the ground with chalk. He has some questions in his mind which he wants to know. Answer the following questions:

""CBSE-Class-10-Mathematics-Polynomials-Worksheet-Set-C

Question. What is the name of the shape of the figure?
(a) Ellipse
(b) parabola
(c) linear
(d) spiral
Answer : B

Question. How many zeroes are there for the polynomial?
(a) 1
(b) 2
(c) 3
(d) 4
Answer : B

Question. The zeroes of the polynomial are
(a) –2, 0
(b) 0, 2
(c) –1, 2
(d) –2, 2
Answer : D

Question. The expression of the polynomial is
(a) x2 + 4x + 4
(b) x2 – 4x + 4
(c) x2 – 4
(d) x2 – 4x – 4
Answer : C

Question. The value of the polynomial if x = –2 is
(a) 16
(b) 12
(c) 8
(d) 0
Answer : D

V. In a game to entertain themselves, students of class-10th have drawn following figure with chalk on the ground. They have some questions in their mind which they want to solve.
Please answer and solve their question.

""CBSE-Class-10-Mathematics-Polynomials-Worksheet-Set-C-1

Question. The number of zeroes of the polynomial P(x) is
(a) 1
(b) 2
(c) 3
(d) 4
Answer : B

Question. The zeroes of the polynomial are
(a) 1, 3
(b) –1, 3
(c) 1, –3
(d) –1, –3
Answer : A

Question. The expression of the polynomial is
(a) x2 + 4x + 3
(b) x2 – 4x + 3
(c) x2 + 4x – 3
(d) x2 – 4x – 3
Answer : B

Question. The value of the polynomial if x = 3 i
(a) 24
(b) 0
(c) 18
(d) –6
Answer : B

Question. What is the degree of the polynomial?
(a) 0
(b) 1
(c) 2
(d) 3
Answer : C

VI. To scare his friends in a street, a naughty boy spread a rope which looks in some mathematical shape.
Now few questions arises in his mind which he wants you to answer.

""CBSE-Class-10-Mathematics-Polynomials-Worksheet-Set-C-2

Question. Name the shape between points A and B.
(a) linear
(b) parabola
(c) ellipse
(d) spiral
Answer : B

Question. The number of zeroes of the polynomial y = p(x) is
(a) 1
(b) 2
(c) 3
(d) 4
Answer : D

Question. The zeroes of the polynomial are
(a) –4, –2, 2, 4
(b) –4, –1, 2, 4
(c) –4, –2, 0, 4
(d) –2, 0, 2, 4
Answer : A

Question. The expression of the polynomial is
(a) x4 + 20x2 + 64
(b) x4 – 20x2 + 64
(c) x4 – 20x2 – 64
(d) x4 + 20x2 – 64
Answer : B

Question. The value of the polynomial when x = 2 is
(a) 144
(b) –128
(c) 0
(d) 32
Answer : C

 

Q.- Find the zero of the polynomial in each of the following cases :

(i) p(x) = x + 5
(ii) p(x) = 2x + 5
(iii) p(x) = 3x – 2
 
Sol. To find the zero of a polynomial p(x) means to solve the polynomial equation p(x) = 0.
(i) For the zero of polynomial p(x) = x + 5
p(x) = 0
=> x + 5 = 0
=> x = –5
∴ x = –5 is a zero of the polynomial
p(x) = x + 5.
 
(ii) p(x) = 0  => 2x + 5 = 0 
 => 2x = –5 and x = -5/2
 
∴ x = -5/2
is a zero of p(x) = 2x + 5.
 
(iii) p(x) = 0  => 3x – 2 = 0 
 => 3x = 2 and x =2/3
 
∴ x = 2/3 is zero of p(x) = 3x – 2
 
Q.- Form the quadratic polynomial whose zeroes are 4 and 6.
 
Sol. Sum of the zeroes = 4 + 6 = 10
Product of the zeroes = 4 × 6 = 24
Hence the polynomial formed
= x2 – (sum of zeroes) x + Product of zeroes
= x2 – 10x + 24
 
Q.- Form the quadratic polynomial whose zeroes are –3, 5.
 
Sol. Here, zeroes are – 3 and 5.
Sum of the zeroes = – 3 + 5 = 2
Product of the zeroes = (–3) × 5 = – 15
Hence the polynomial formed
= x2 – (sum of zeroes) x + Product of zeroes
= x2 – 2x – 15
 
Q.- Find the degree of the polynomial :
(i) 5x – 6x3 + 8x7 + 6x2
(ii) 2y12 + 3y10 – y15 + y + 3
(iii) x
(iv) 8
 
Sol. (i) Since the term with highest exponent (power) is 8x7 and its power is 7.
∴ The degree of given polynomial is 7.
 
(ii) The highest power of the variable is 15
 => degree = 15.
 
(iii) x = x1 => degree is 1.
 
(iv) 8 = 8x0 => degree = 0
 
Q.- find the zeroes of the quadratic polynomial x2 – 2x – 8 and verify a relationship between zeroes and its coefficients.
 
Sol. x2 – 2x – 8 = x2 – 4x + 2x – 8
= x (x – 4) + 2 (x – 4) = (x – 4) (x + 2)
So, the value of x2 – 2x – 8 is zero when
x – 4 = 0 or x + 2 = 0 i.e., when x = 4 or x = – 2.
So, the zeroes of x2 – 2x – 8 are 4, – 2.
Sum of the zeroes

polynomials notes 7

verify the relationship between the zeroes and the coefficients. 2x3 + x2 – 5x + 2 ; 1/2, 1, – 2
 
Very Short Answer Type Questions
 
Factorize each of the following expression
 
Q.1 x2 – x – 42
Ans- (x + 6) (x – 7)
 
Q.2 6 – 5y – y2
Ans-(6 + y) (1 – y)
 
Q.3 a2 + 46a + 205
Ans-(a + 41) (a + 5)
 
Q.4 ab + ac – b2 – bc
Ans-(a – b) (b + c)
 
Q.5 p4 – 81q4
Ans- (p + 3q) (p – 3q) (p2 + 9q2)
 
Q.6 p(x) = 2x2 – 5x + 7, q(x) = x – 1
Ans-  4 7. – 5
 
Q.7 p(x) = x9 – 5x4 + 1 , q(x) = x + 1
Ans- 5
 
Q.8 p(x) = 2x3 – 3x2 + 4x – 1 , q(x) = x + 2
Ans- -37

 

Please click the below link to access CBSE Class 10 Mathematics Polynomials Worksheet Set C

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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