Refer to CBSE Class 10 Mathematics Polynomials MCQs Set C 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: If a and 1/α are the zeroes of polynomial 4x2 -2x +(k- 4), the value of k is:
a) 4
b) 8
c) 0
d) None of the options
Answer: b
Question: Which of the following is a polynomial: C
a) x2 + 1/x
b) 2x2 -3√x +1
c) 3x2 -3x +1
d) x2 + x -2 +7
Answer: c
Question: If a polynomial of degree 6 is divided by a polynomial of degree 2, then the degree of the quotient is
a) less than 4
b) less than 2
c) equal to 2
d) equal to 4
Answer: d
Question: If f(x) = ax2 + bx + c has no real zeroes and a + b + c < 0, then:
a) c = 0
b) c > 0
c) c < 0
d) None of the options
Answer: c
Question: 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
Question: The quadratic polynomial having zeroes –3 and 2 is
a) x2 - x -6
b) x2 + x -6
c) x2 + x +6
d) x2 - x +6
Answer: b
Question: If the sum of the zeroes of the polynomial f(x) = 2x3 -3kx2 + 4x -5 is 6, then the value of k is:
a) 2
b) 4
c) –2
d) –2
Answer: b
Question: If 5 is a zero of the quadratic polynomial x2 - kx -15, then the value of k is
a) 2
b) –2
c) 4
d) – 4
Answer: a
Question: If a, b are the zeroes of the polynomial f(x) = x2 -3x +2, then 1/α 1/β + equals to:
a) 3
b) –1
c) 3/2
d) - 3/2
Answer: c
Question: If α,β,y are the zeroes of the polynomial p(x) = x3 - ax2 + bx - c then 1/αβ + 1/αβ + 1/αβ = __________
a) a/b
b) b/c
c) a/c
d) c/d
Answer: c
Question: If p and q are the zeroes of the quadratic polynomial f(x) = ax2 + ax + b then the value of p4 + q4 is ______
a) (a2 - 2bc)2 - b2c2/c4
b) (a2 - 2bc)2 - 2b2c2/c4
c) (b2 - 2ac)2 - a2c2/c4
d) (b2 - 2ac)2 - 2a2c2/c4
Answer: b
Question: If √(5/3) and -√(5/3) are two zeroes of the polynomial 3x4 +6x3 -2x2 -10x -5, then its other two zeroes are:
a) –1, –1
b) 1, –1
c) 1, 1
d) 3, –3
Answer: a
Question: 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
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 product and sum of zeroes of the quadratic polynomial ax2 + bx + c are respectively.
a) b/a , c/a
b) c/a , b/a
c) c/b , 1
d) c/a , -b/a
Answer: d
Question: If the polynomial f(x) = ax3 + bx - c is divisible by the polynomial g(x) = x2 + bx + c, then the value of ab
is:
a) 1/c
b) 1
c) –1
d) None of the options
Answer: b
Question: If one zero of the quadratic polynomial x2 -5x + k is –4 ,then the value of k is
a) 36
b) –36
c) 18
d) –18
Answer: b
Question: If a,b are the zeroes of the polynomial f(x) = ax2 + bx + c, then 1/α2 1/β2 + equals to:
a) b2-4ac/a2
b) b2-2ac/c2
c) b2-2ac/a2
d) b2+2ac/c2
Answer: b
Question: Given that two of the zeroes of the cubic polynomial ax3 + bx2 + cx + d are 0, the value of c is
a) less than 0
b) greater than 0
c) equal to 0
d) can’t say
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: If the zeroes of the quadratic polynomial ax2 + bx + c, c ¹ 0 are equal, then
a) c and a have opposite signs
b) c and a have the same sign
c) c and b have opposite signs
d) c and b have the same sign
Answer: b
Question: If the product of two zeroes of the polynomial p(x) = 2x3 +6x2 - 4x +9 is 3, then its third zero is
a) -3/2
b) 3/2
c) -9/2
d) 9/2
Answer: a
Question: If the zeroes of the quadratic polynomial ax2+ bx + c, c≠0 are 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
Question: Given that two of the zeroes of the cubic polynomial ax3 + bx 2 + cx + d are 0, the value of c is
a) less than 0
b) greater than 0
c) equal to 0
d) can’t say
Answer: c
Question:If the zeroes of the polynomial f(x) = ax3 + 3bx2 3cx + d are in A.P. then 2b3 + a2d is equal to _______
a) a2 bc
b) 3abc
c) 2b2 ac
d) abc
Answer: b
Question: If the zeroes of the quadratic polynomial ax2 + bx + c, c ¹ 0 are equal, then
a) c and a have opposite signs
b) c and a have the same sign
c) c and b have opposite signs
d) c and b have the same sign
Answer: b
Question: A quadratic polynomial with 3 and 2 as the sum and product of its zeroes respectively is
a) x2 +3x -2
b) x2 -3x +2
c) x2 -2x +3
d) x2 -2x -3
Answer: b
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: A quadratic polynomial with sum and product of its zeroes as 8 and –9 respectively is
a) x2 -8x +9
b) x2 -8x -9
c) x2 +8x -9
d) x2 +8x +9
Answer: b
Question: If the graph of a polynomial intersects the x-axis at exactly two points, then it
a) cannot be a linear or a cubic polynomial
b) can be a quadratic polynomial only
c) can be a cubic or a quadratic polynomial
d) can be a linear or a quadratic polynomial
Answer: d
Question: A quadratic polynomial whose roots are –3 and 4 is
a) x2 - x +12
b) x2 + x +12
c) x2/2 - x/2-6
d) 2x2 +2x -24
Answer: c
Question: If one of the zeroes of the cubic polynomial x 3 + ax2 + bx + c is –1, then the product of the other two zeroes is
a) a - b -1
b) b - a -1
c) b - a +1
d) a - b +1
Answer: a
Question: If the LCM of p(x) and q(x) is a9 b9 then their HCF can be
a) (a - b)
b) (a2 + b2 + ab)
c) a6 + b6 + a3b3
d) all of the options
Answer: d
Question: 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
Question: If p(x) = ax2+ bx + c has no real zero and a + b + c < 0, then
a) c = 0
b) c < 0
c) c > 0
d) None of the options
Answer: b
Question: If one root of the polynomial p(y) = 5y2 +13y + m is reciprocal of other, then the value of m is
a) 6
b) 0
c) 5
d) 1/5
Answer: c
Question: If two zeroes of the polynomial f (x) = x4 - 2x3 - 18x2 - 6x + 45 are , -√3 and √3 then find the sum of other two zeroes.
a) 0
b) -1
c) -2
d) 1
Answer: c
Question: if p(x) = x2 + x + 1 and q (x) = x3 - x + 1, then the HCF of p b) and q a)
a) c + b + 1
b) a - b + 1
c) a - b
d) a + b
Answer: c
Question: The zeroes of the quadratic polynomial x2 + ax + b a, b > 0 are
a) both positive
b) both negative
c) one positive one negative
d) can’t say
Answer: b
Question: The degree of the remainder r(x) when p(x)= bx3 + cx + d is divided by a polynomial of degree 4 is
a) less than 4
b) less than 3
c) equal to 3
d) less than or equal to 3
Answer: c
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CBSE Class 10 Mathematics Probability MCQs Set A |
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MCQs for Chapter 2 Polynomials Mathematics Class 10
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