CBSE Class 10 Mathematics Polynomials Worksheet Set B

Polynomials
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Read and download free pdf of CBSE Class 10 Mathematics Polynomials Worksheet Set B. 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 school teachers as per the latest NCERT, CBSE, KVS 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 MCQ Questions with Answers Class 10 

Question- The L.C.M. of 2x and 8 is
(1) 2x
(2) 4x
(3) 8x
(4) 16x
Ans- 3
 
Question- The simplest form of (2x + 3)3 - (2x - 3)3 is
(1) 54 + 72x2
(2) 72 + 54x2
(3) 54 + 54x2
(4) None of these
Ans- 1 
 
Question- The simplest form of (p - q)3 + (q - r)3 + (r - p)3 is
(1) 4(p - q)(q - r)(r - p)
(2) 2 (p - q)(q - r)(r - p)
(3) (p - q)(q - r)(r - p)
(4) None of these
Ans- 3 
 
Question- The square root of x4 + 6x3 + 17x2 + 24x + 16 is
(1) x2 + 3x + 4
(2) 2x2 + 3x + 4
(3) 3x2 + 3x + 4
(4) None of these
Ans-1 
 
Question- The factors of a3(b - c) + b3(c - a) + c3(a - b) are
(1) (a + b + c) (a - b) (b - c) (c - a)
(2) - (a + b + c) (a - b) (b - c) (c - a)
(3) 2 (a + b + c) (a - b) (b - c) (c - a)
(4) - 2 (a + b + c) (a - b) (b - c) (c - a)
Ans-2 
 
Question- If (x - 2) is a common factor of x3 - 4x2 + ax + b and x3 - ax2 + bx + 8, then the values of a and b are respectively
(1) 3 and 5
(2) 2 and -4
(3) 4 and 0
(4) 0 and 4
Ans- 4
 
Question- If the expressions ax3 + 3x2 - 3 and 2x3 - 5x + a on dividing by x - 4 leave the same remainder, then the value of a is
(1) 1
(2) 0
(3) 2
(4) -1
Ans- 1
 
Question-The value of m if 2xm + x3 - 3x2 - 26 leaves a remainder of 226 when it is divided by x - 2.
(1) 0
(2) 7
(3) 10
(4) All of these
Ans-2 
 
Question-If the polynomial x19 + x17 + x13 + x11 + x7 + x5 + x3 is divided by (x2 + 1), then the remainder is
(1) 1
(2) x2 + 4
(3) -x
(4) x
Ans- 3
 
Question-The remainder when f(x) = (x4 - x3 + 2x - 3) g(x) is divided by x - 3, given that x - 3 is a factor of g(x) + 3, where g(x) is a polynomial is
(1) 0
(2) -171
(3) 10
(4) 2
Ans-2 
 
Question-The polynomial f(x) has roots of equations 3, -3, - k. Given that the coefficient of x3 is 2, and that f(x) has a remainder of 8 when divided by x + 1, the value of k is
(1) 1/2
(2) 1/4
(3) 1/5
(4) 2
Ans- 1
 
Question- ax4 + bx3 + cx2 + dx + e is exactly divisible by x2 - 1, when:
(1) a + b + c + e = 0
(2) a + c + e = 0
(3) a + b = 0
(4) a + c + e = b + d = 1
Ans- 2
 
Question- The remainder of x4 + x3 - x2 + 2x + 3 when divided by x - 3 is
(1) 105
(2) 108
(3) 10
(4) None
Ans- 2
 
Question- If x - 3 is a factor of x3 + 3x2 + 3x + p, then the value of p is
(1) 0
(2) -63
(3) 10
(4) None
Ans-2 
 
Question- The value of ax2 + bx + c when x = 0 is 6. The remainder when dividing by x + 1 is 6. The remainderwhen dividing by x + 2 is 8. Then the sum of a, b and c is
(1) 0
(2) -1
(3) 10
(4) None
Ans- 1
 
Question- xn - yn is divisible by x + y, when n is_______.
(1) An odd positive integer
(2) An even positive integer
(3) An integer
(4) None of these
Ans- 3
 
Question- The remainder when x1999 is divided by x2 - 1 is
(1) - x
(2) 3x
(3) x
(4) None
Ans- 3
 
Question- If x + 1 is a factor of ax4 + bx3 + cx2 + dx + e = 0 then ____
(1) a + c + e = b + d
(2) a + b = c + d
(3) a + b + c + d + e = 0
(4) a + c + b = d + e
Ans-1 
 
Question- If (x - 3) is the factor of 3x3 - x2 + px + q then___
(1) p + q = 72
(2) 3p + q = 72
(3) 3p + q = -72
(4) q - 3p = 72
Ans- 3

Polynomials MCQ Questions with Answers Class 10 

Question- If x3 -(x + 1)2 = 2001 then the value of x is
(1) 14
(2) 13
(3) 10
(4) None
Ans-2 
 
Question- If x + 1/x = 5, then the value of x3 + 1/x3 is
(1) 110
(2) 90
(3) 80
(4) 50
Ans-1 
 
Question- If the zeros of the polynomial ax2 + bx + c be in the ratio m : n, then
(1) b2 mn = (m2 + n2) ac
(2) (m + n)2 ac = b2 mn
(3) b2 (m2 + n2) = mnac
(4) None of these
Ans-2 
 
Question- If a ¹ b and the difference between the roots of the bpolynomials x2 + ax + b and x2 + bx + a is the same, then
(1) a + b + 4 = 0
(2) a + b - 4 = 0
(3) a - b + 4 = 0
(4) a - b - 4 = 0
Ans-1
 
Question- The factors of a2(b3 - c3) + b2(c3 - a3) + c2(a3 - b3) are
(1) (a - b) (b - c) (c - a) (ab + bc + ca)
(2) (a + b) (b + c) (c + a) (ab + bc + ca)
(3) (a - b) (b - c) (c - a) (ab - bc - ca)
(4) None of these
Ans-1 
 
Question- If p,q are zeros of x2 + px + q, then
(1) p = 1
(2) p = 1 or 0
(3) p = - 2
(4) p = - 2 or 0
Ans-1
 
Question- On simplifying (a + b)3 + (a - b)3 + 6a(a2 - b2) we get
(1) 8a2
(2) 8a2b
(3) 8a3b
(4) 8a3
Ans-4 
 
Question- In method of factorization of an algebraic expression, Which of the following statements is false?
(1) Taking out a common factor from two or more terms
(2) Taking out a common factor from a group of terms
(3) By using remainder theorem
(4) By using standard identities
Ans-3 
 
Question- The homogeneous function of the second degree in x and y having 2x - y as a factor, taking the value 2 when x = y = 1 and vanishing if x = -1, y = 1 is
(1) 2x2 + xy - y2
(2) 3x2 - 2xy + y2
(3) x2 + xy - 2y2
(4) None of these
Ans-1 
 
Question- The common quantity that must be added to each term of a2 : b2 to make it equal to a : b is
(1) ab
(2) a + b
(3) a - b
(4)a/b
Ans-1 
 
Question- If the polynomial 16x4 - 24x3 + 41x2 - mx + 16 be a perfect square,then the value of "m" is
(1) 12
(2) -12
(3) 24
(4) -24
Ans-3 
 
Question- Let a,b be the zeros of the polynomial (x - a) (x - b) - c with c ≠0. Then the zeros of the polyno- mial (x - a) (x - b) + c are
(1) a, c
(2) b, c
(3) a, b
(4) a + c, b + c
Ans-3 
 
Question- A homogeneous expression of second degree in x & y is
(1) ax2 + bx + c
(2) ax2 + bx + cy
(3) ax2 + bx + cy2
(4) ax2 + bxy + cy2
Ans-4 
 
Question- If the sum of the zeros of the polynomial x2 + px + q is equal to the sum of their squares, then
(1) p2 - q2 = 0
(2) p2 + q2 = 2q
(3) p2 + p = 2q
(4) None of these
Ans-3 
 
Question-  The L.C.M. of 22x(x + 1)2 and 36x2(2x2 + 3x + 1) is
(1) 2x(x + 1)
(2) 396x2(x + 1)2(2x + 1)
(3) 792x3(x + 1)2 (2x2 + 3x + 1)
(4) None of these
Ans-2
 
Question- If the G.C.D. of the polynomials x3 - 3x2 + px + 24 and x2 -7x + q is (x - 2), then the value of (p + q) is:
(1) 0
(2) 20
(3) -20
(4) 40
Ans-1
 
More question-

 

1. Find the zeroes of the following quadratic polynomials and verify the relationships between the zeroes and the coefficients of the polynomials:-

(a): p(x) = 8x2 – 19x – 15; (b): q(x) = 4 √3 x2 + 5x – 2 √3 ; (c): f (x) = 5x - 4 √3 + 2 √3 x2.

2. Find a quadratic polynomial each with the given numbers as the sum and product of its zeroes respectively:-

(i) 2/3 , -4 (ii) - 1/√2 ,1/√2  (iii) √5 , -2 (iv) - 1/√2, 2/3

3. Verify that 3, -1 and - 1/3  are zeroes of the polynomial p(x) = 3x3– 5x2 – 11x – 3. Then, verify the relationships between the zeroes and its coefficients.

4. For what value of K is 4 a zero of f(x) = x2 + kx + 4?

5. Find the quotient and remainder when p(x) is divided by q(x).

(i) p(x) = 6x3 + 11x2 – 39x – 65, q(x) = x2 – 1 + x
(ii) p(x) = 4 + 9x2 – 4x2, q(x) = x + 3x2 – 1
(iii) p(x) = 30x4 – 82x2 + 11x3 + 48 – 12x, q(x) = 3x2 + 2x - 4

6. What must be subtracted from 8x4 + 14x3 – 2x2 + 7x – 8 so that the resulting polynomial is exactly divisible by 4x2 + 3x – 2?

7. What must be added to 4x4 + 2x3 – 2x2 + x – 1, so that the resulting polynomial is divisible by x2 + 2x –3 ?

8. If -2 is a zero of f(x) = x3 + 13x2 + 32x + 20, find its other zeroes.

9. √3 and - √3 are zeroes of f(x) = x4 – 3x3 – x2 + 9x – 6. Find all the zeroes of p(x).

10. Obtain all zeroes of the polynomial p(x) = 2x4 + x3 – 14x2 – 19x – 6, if two of its zeroes are -1 and -2.

11. Find all the zeroes of f(x) = 2x4 – 2x3 – 7x2 + 3x + 6 if two of its zeroes are √3/2 and - √3/2.

12. Find all values of p and q so that 1, -2 are zeroes of the polynomial f(x) = x3 + 10x2 + px + q.

13. If p(x)=2x4 + 3x3 - 3x2 – 2x + 5 is divided by 2x2 + 3x – 1,then the remainder is x – a. Find a.

14. On dividing f(x) = 2x3 – 5x2 + 4x – 8 by g(x), the quotient and the remainder are (2x – 9) and 24x – 17, respectively. Find g(x).

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

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CBSE Class 10 Mathematics Chapter 2 Polynomials Worksheet

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Worksheet for Mathematics CBSE Class 10 Chapter 2 Polynomials

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Chapter 2 Polynomials worksheet Mathematics CBSE Class 10

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Chapter 2 Polynomials CBSE Class 10 Mathematics Worksheet

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