Refer to CBSE Class 10 Mathematics Polynomials MCQs Set D provided below available for download in Pdf. The MCQ Questions for Class 10 Mathematics with answers are aligned as per the latest syllabus and exam pattern suggested by CBSE, NCERT and KVS. Chapter 2 Polynomials Class 10 MCQ are an important part of exams for Class 10 Mathematics and if practiced properly can help you to improve your understanding and get higher marks. Refer to more Chapter-wise MCQs for CBSE Class 10 Mathematics and also download more latest study material for all subjects
MCQ for Class 10 Mathematics Chapter 2 Polynomials
Class 10 Mathematics students should refer to the following multiple-choice questions with answers for Chapter 2 Polynomials in Class 10.
Chapter 2 Polynomials MCQ Questions Class 10 Mathematics with Answers
Question: The zeroes of 3x 2 +10x +7 3 are:
a) 7, 3
b) √3,7 √3
c) -√ 3 -7/√3,
d) None of the options
Answer: c
Question: If a and b are zeroes of p(x) = x2 + x -1, then 1/α + 1/β + equals to
a) –1
b) 1
c) 2
d) 0
Answer: b
Question: The zeroes of the quadratic polynomial x2 +99x +127 are
a) both positive
b) both negative
c) one positive and one negative
d) both equal
Answer: b
Question: If the zeroes of the algebraic expression 3ax2 + x(3b + 5a are -3/7 and -5/3 , then find the value of a/b
a) 1/3
b) 4/5
c) 7/3
d) 3
Answer: b
Question: If one of the zeroes of a quadratic polynomial of the form x2 + ax + b is 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 positive
d) can have a linear term but the constant term is negative
Answer: a
Question: 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
Question: If f(x) = 3x4 + 6x3 - 2x2 - l0x - 5 and two of its zeroes are - 1, - 1, then the other two zeroes are _______
a) √3/5 - √3/5
b) √2/5 - √2/5
c) √5/3 - √5/3
d) √5/4 - √5/4
Answer: c
Question: 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) -b/a
Answer: b
Question: The zeroes of the quadratic polynomial x2 + kx + k, k ≠ 0
a) cannot both be positive
b) cannot both be negative
c) are always equal
d) are always unequal
Answer: a
Question: The number of polynomials having exactly two zeroes 1 and –2 is
a) 1
b) 2
c) 3
d) infinitely many
Answer: a
Question: A quadratic polynomial, whose zeroes are 5 and –8 is
a) x2 +13x - 40
b) x2 + 4x -3
c) x2 -3x + 40
d) x2 +3x - 40
Answer: d
Question: Solve
Answer: d
Question: The graph of a polynomial f(x) is shown below
The number of real zeroes of the polynomial f(x) is _________
a) 1
b) 2
c) 3
d) 4
Answer: d
Question: Can x 2 -1 be the quotient on division of x 6 +2x 3 + x -1 by a polynomial in x of degree 5?
Answer: No
Question: Can (x -2) be the remainder of a polynomial when divided by p(x) = 3x + 4? Justify.
Answer: No
Question: If two of the zeroes of a cubic polynomial are zero, then does it have linear and constant terms? Give reason.
Answer: No
Question: If the graph of a polynomial intersects the x-axis at only one point can it be a quadratic polynomial?
Answer: Yes
Question: If all the zeroes of cubic polynomial are negative, what can you say about the signs of all the coefficient and the constant term? Give reason.
Answer: Same sign
Question: If on division of a non-zero polynomial p(x) by a polynomial g(x), the remainder is zero, what is the relation between the degrees of p(x) and g(x)?
Answer: deg g(x) £ deg p(x)
Question: What will be the degree of quotient and remainder on division of x 3 +3x -5 by x 2 +1? Justify.
Answer: Degree of Quotient = 1, Degree of Remainder = 1
Question: If on division of a non-zero polynomial p(x) by a polynomial g(x), the remainder is zero, what is the relation between the degrees of p(x) and g(x)?
Answer: deg g(x) £ deg p(x)
Question: If on division of a polynomial p(x) by a polynomial g(x), the quotient is zero, what is the relation between the degrees of p(x) and g(x)?
Answer: deg p(x) < deg g(x)
Question: The degree of a cubic polynomial is at least 3. State true or false. Give reason.
Answer: F, because it is equal to 3.
Question: A linear polynomial can have atmost one zero. State true or false.
Answer: T
Question: The only value of k for which the quadratic polynomial kx 2 + x + k has equal zeroes is 1/2.
Answer: False
Question: A quadratic polynomial has at least one zero. State true or false.
Answer: F
Question: If all the zeroes of a cubic polynomial are negative, then all the coefficients and constant term of the polynomial have the same sign.
Answer: True
Question: If the graph of a polynomial intersects the x-axis exactly at two points, it may not be quadratic polynomial. State true or false. Give reason.
Answer: T
Question: The only value of k for which the quadratic polynomial kx 2 + x + k has equal zeroes is 1/2 , state true or false.
Answer: F
Question: If all three zeroes of a cubic polynomial x 3 + ax 2 - bx + c are positive, then at least one of a, b and c is non-negative.
Answer: False
Question: If two of the zeroes of a cubic polynomial are zero, then it does not have linear and constant terms.
Answer: True
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MCQs for Chapter 2 Polynomials Mathematics Class 10
Expert teachers of studiestoday have referred to NCERT book for Class 10 Mathematics to develop the Mathematics Class 10 MCQs. If you download MCQs with answers for the above chapter you will get higher and better marks in Class 10 test and exams in the current year as you will be able to have stronger understanding of all concepts. Daily Multiple Choice Questions practice of Mathematics will help students to have stronger understanding of all concepts and also make them expert on all critical topics. After solving the questions given in the MCQs which have been developed as per latest books also refer to the NCERT solutions for Class 10 Mathematics. We have also provided lot of MCQ questions for Class 10 Mathematics so that you can solve questions relating to all topics given in each chapter. After solving these you should also refer to Class 10 Mathematics MCQ Test for the same chapter.
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