CBSE 10th Maths Exam 2021: Important MCQs from Chapter-2 Polynomials with Detailed Solutions

Get here MCQs on Class 10 Maths Chapter 2- Polynomials. All these questions are provided with answers and detailed solutions. Students can also download all the solved MCQs in PDF format so that they may practice with these questions in offline mode as well. All these questions are quite important for the upcoming CBSE Class 10 Maths Board Exam 2021.

Note- Following topics have been excluded from the revised CBSE Class 10 Maths Syllabus:

Statement and simple problems on division algorithm for polynomials with real coefficients.

Students must prepare according to the revised syllabus only.

Check below the solved MCQs from Class 10 Maths Chapter 2 Polynomials:

1. The zeroes of the quadratic polynomial x² + 99x + 127are

(A) both positive                                            

(B) both negative

(C) one positive and one negative                 

(D) both equal

Answer: (B)

2. If the zeroes of the quadratic polynomial x² + bx + c , c ≠ 0are equal, then

(A) c and a have opposite signs

(B) c and b have opposite signs

(C) c and a have the same sign          

(D) c and b have the same sign

Answer: (C)

CBSE Class 10 Science Important MCQs from All Chapters for Board Exam 2021

3. The number of polynomials having zeroes as –2 and 5 is

(A) 1                                                                     

(B) 2

(C) 3                                                                      

(D) more than 3

Answer:  (D)

4. The degree of the polynomial (x + 1)(x² – x – x⁴ +1) is:

(A)2                                                      

(B) 3

(C) 4                                                      

(D) 5

Answer:  (D)

Explanation: Since the highest degree variable in first bracket is x and in second bracket is x⁴ on multiplying x with x⁴.the highest power we obtain is 5.

5. If the zeroes of the quadratic polynomial x² + (a + 1)x + b are 2 and –3, then

(A) a = –7, b = –1                                                             

(B) a = 5, b = –1

(C) a = 2, b = – 6                                                               

(D) a = 0, b = – 6

Answer:  (D)

NCERT Exemplar Problems and Solutions for Class 10 Maths

6. Given that one of the zeroes of the cubic polynomial ax³ + bx² + cx + d is zero, the product of the other two zeroes is

(A) –c/a                                                                               

(B) c/a

(C) 0                                                                                      

(D) 3

Answer:  (B)

7. If one of the zeroes of the cubic polynomial x³ + ax² + bx + c is –1, then the

Product of the other two zeroes is

(A) b – a + 1                                       

(B) b – a – 1

(C) a – b + 1                                       

(D) a – b –1

Answer: (A)

8. If one of the zeroes of the quadratic polynomial (k – 1)x² + kx + 1 is –3, then the value of k is

(A) 4/3                                                                 

(B) – 4/3

(C) 2/3                                                                 

(D) – 2/3

Answer:  (A)

NCERT Solutions for Class 10 Maths

10. The value of p for which the polynomial x³ + 4x² –px + 8 is exactly divisible by (x – 2) is: 

(A) 0                                                                                     

(B) 3

(C) 5                                                                                      

(D) 16 

Answer: (D)

11. If sum of the squares of zeroes of the quadratic polynomial 6x² + x + k is 25/36, the value of k is: 

(A) 4                                                                                     

(B) – 4

(C) 2                                                                                      

(D) – 2

Answer:  (D)

NCERT Exemplar Problems and Solutions for Class 10 Science

12. If α and β are zeroes of x² – 4x + 1, then 1/α + 1/β – αβ is 

(A) 3                                                                     

(B) 5

(C) –5

(D) –3 

Answer:  (A)

13. If (x + 1) is a factor of x²− 3ax +3a − 7, then the value of a is: 

(A) 1                                                                     

(B) –1

(C) 0                                                                      

(D) –2 

Answer: (A)

14. If one of the zeroes of a quadratic polynomial of the form x² + ax + b is the negative of the other, then it

(A) has no linear term and the constant term is negative.

(B) has no linear term and the constant term is positive.

(C) can have a linear term but the constant term is negative.

(D) can have a linear term but the constant term is positive

Answer: (A)

15. If α, β are zeroes of x² –6x + k, what is the value of k if 3α + 2β = 20? 

(A)–16                                                 

(B) 8

(C) 2                                                                      

(D) –8 

Answer: (A)

All the above questions can also be downloaded in PDF from the following link:

Important Articles for the Preparations of Class 10 Maths Exam 2021:

We have prepared some articles which will help the class 10 students in preparations of their Maths exam by summarising all important resources at one place. Students can check the following links to explore the important articles to prepare in an effective manner and perform well in the exam:

CBSE Class 10 Maths Exam Pattern 2020 with Blueprint & Marking Scheme

CBSE Class 10 Maths Important Questions and Answers for Board Exam 2021

CBSE Class 10 Maths Solved Previous Year Question Papers

CBSE Class 10th Maths Chapter-wise Important Formulas, Theorems & Properties