Class 9 Mathematics MCQ Polynomials

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NCERT Class 9 Mathematics MCQ Polynomials with Answers

Question :For a polynomial p(x), x-2 is a factor, so p(2) is _______
(a) -1
(b) 0
(c) -2
(d) 2

Show Answer :

Answer : (b) 0

Question :A polynomial with one degree is called:
(a) Linear polynomial
(b) Quadratic polynomial
(c) Monomial
(d) Binomial

Show Answer :

Answer : (a) Linear polynomial

Question :Evaluate (11)³
(a) 1313
(b) 1331
(c) 3131
(d) 3113

Show Answer :

Answer : (b) 1331

Question :Factoring 3x²-5x+2
(a) (3x-2)(x-1)
(b) (x+2)(3x-1)
(c) (3x+2)(x-1)
(d) (x-2)(3x+1)

Show Answer :

Answer : (a) (3x-2)(x-1)

Question :x-a is a factor of p(x) = ax²+bx+c. Which of the following is true?
(a) p(a) = 2
(b) p(a) = 0
(c) p(2) = 1
(d) p(b) = 0

Show Answer :

Answer : (b) p(a) = 0

Question :A binomial of degree 20 in the following is:
(a) 20x + 1
(b) $\frac { x }{ 20 }$ + 1
(c) x²⁰ +1
(d) x²+20

Show Answer :

Answer : (c) x²⁰ +1

Question :√3 is a polynomial of degree:
(a) 2
(b) 0
(c) 1
(d) $\frac { 1 }{ 2 }$

Show Answer :

Answer : (b) 0

Question :A polynomial of degree 5 in x has at most
(a) 5 terms
(b) 4 terms
(c) 6 terms
(d) 10 terms

Show Answer :

Answer : (c) 6 terms

Question :If x + 2 is a factor of x³ – 2ax² + 16, then value of a is
(a) 3
(b) 1
(c) 4
(d) 2

Show Answer :

Answer : (b) 1

Question :If 3 + 5 – 8 = 0, then the value of (3)³ + (5)³ – (8)³ is
(a) 260
(b) –360
(c) –160
(d) 160

Show Answer :

Answer : (b) –360

Question :The value of k for which x – 1 is a factor of the polynomial 4x³+ 3x² – 4x + k is :-
(a) 3
(b) 0
(c) 1
(d) – 3

Show Answer :

Answer : (d) – 3

Question :Degree of zero polynomial is:
(a) 1
(b) Any natural number
(c) 0
(d) Not defined

Show Answer :

Answer : (d) Not defined

Question :For a polynomial p(x), p(-1) and p(2) are both equal to zero .So, we can conclude that,
(a) (x² + 2x – 1) is a factor
(b) (x² – 2x + 1) is a factor
(c) (x² – x – 2) is a factor
(d) (x² – x + 2) is a factor

Show Answer :

Answer : (c) (x² – x – 2) is a factor

Question : The coefficient of x in the product (x – 1)(1 – 2x) is :
(a) 2
(b) – 1
(c) – 2
(d) 1

Show Answer :

Answer :B

Question : The degree of the polynomial 2 – y² – y³ + 2y⁷ is :
(a) 2
(b) 7
(c) 0
(d) 3

Show Answer :

Answer :B

Question : The degree of the polynomial p(x) + (x – 7)³ – x³is :
(a) 3
(b) 2
(c) 1
(d) 0

Show Answer :

Answer :B

Question : A polynomial p(x) of degree n is such that p(a) = 0 and p(–b) = 0. Which of the following is the factored form of the polynomial?
(a) (x – a)(x + b) g(x); where g(x) is a polynomial of degree n – 2.
(b) (x – a)(x + b) g(x); where g(x) is a polynomial of degree n
(c) (x + a)(x + b) g(x); where g(x) is a polynomial of degree n – 2.
(d) (x + a)(x + b) g(x); where g(x) is a polynomial of degree n.

Show Answer :

Answer :A

Question : Consider the polynomials shown 😡³ + 2x, 4x, 2x² – 3x + 5 =0 , 3/2x – 1/2Which of the following tables correctly classifies the given polynomials as zero, linear, quadratic andcubic polynomials?

Show Answer :

Answer :A

Question : Which of the following is a quadratic polynomial in one variable ?
(a) √2x³ + 5
(b) 2x² + 2x^-2
(c) x²
(d) 2x² + y²

Show Answer :

Answer :C

Question :1+3x is a _________ polynomial.
(a) Linear
(b) Quadratic
(c) Cubic
(d) None of the above

Show Answer :

Answer : (a) Linear

Question :The value of p for which x + p is a factor of x²+ px + 3 – p is:
(a) -3
(b) 3
(c) 1
(d) -1

Show Answer :

Answer : (b) 3

Question :Solution of a quadratic equation x²+ 5x – 6 = 0
(a) x = -1, x = 6
(b) x = 1, x = -6
(c) x = 1
(d) x = 6

Show Answer :

Answer : (b) x = 1, x = -6

Question :x² – x is ________ polynomial.
(a) Linear
(b) Quadratic
(c) Cubic
(d) None of the above

Show Answer :

Answer : (b) Quadratic

Question : If x + 2 is a factor of x³ – 2ax² + 16, then value of a is
(a) 3
(b) 1
(c) 4
(d) 2

Show Answer :

Answer :(b) 1

Question : One of the linear factors of 3x² + 8x + 5 is
(a) (x+1)
(b) (x-4)
(c) (x-2)
(d) (x+2)

Show Answer :

Answer :(a) (x+1)

Question : The value of p for which x + p is a factor of x²+ px + 3 – p is:
(a) -3
(b) 3
(c) 1
(d) -1

Show Answer :

Answer :(b) 3

Question : √3 is a polynomial of degree:
(a) 2
(b) 0
(c) 1
(d) 1/2

Show Answer :

Answer :(b) 0

Question : For what value of b, is the polynomial x³ – 3x² + bx – 6 divisible by x – 3?
(a) 1
(b) 2
(c) 3
(d) -3

Show Answer :

Answer :(b) 2

Question : The zero of the polynomial f(x) = 2x+7 is
(a) 2/7
(b) -2/7
(c) 7/2
(d) -7/2

Show Answer :

Answer :(d) -7/2

Question : The value of 2492 – 2482 is :
(a) 12
(b) 477
(c) 487
(d) 497

Show Answer :

Answer 😀

Question : Which one of the following is a polynomial ?
(a) x²/2 − 2/x²
(b) √2x − 1
(c) x² + 3x³/2/√x
(d) x − 1/ x + 1

Show Answer :

Answer :C

Question : If a + b + c = 0, then a³+ b³+ c³ is equal to
(a) 0
(b) abc
(c) 3abc
(d) 2abc

Show Answer :

Answer :C

Question : If p (x) = x² − 2√2x + 1, then p(2√2) is equal to
(a) 0
(b) 1
(c) 4√2
(d) 8√2 + 1

Show Answer :

Answer :B

Question : The coefficient of x in the expansion of (x + 3)³ is :
(a) 1
(b) 9
(c) 18
(d) 27

Show Answer :

Answer 😀

Question : Which of the following is a trinomial in x ?
(a) x³+ 1
(b) x³+ x² + x
(c) x√x + √x + 1
(d) x³+ 2x

Show Answer :

Answer :B

Question : The polynomial (x – a) is a factor of the polynomial x⁴ – 2x²+ kx + k, where k is a constant. Which of these is the correct relation between a and k ?
(a) k = a²(2 – a²)/1 + a
(b) k = a²(2 + a²)/1 + a
(c) k = a²(2 + a²)/1 – a
(d) k = a²(2 – a²)/1 – a

Show Answer :

Answer :A

Question : Which of these is a factor of the polynomial p(x) = x³+ 4x + 5 ?
(a) (x – 1)
(b) (x + 1)
(c) (x – 2)
(d) (x + 2)

Show Answer :

Answer :B

Question : If p(x) = 2 + x/2 + x² – x³/3 , then p(– 1) is :
(a) 15/6
(b) 17/6
(c) 1/6
(d) 13/6

Show Answer :

Answer :B

Question : Given that m + 2, where m is a positive integer, is a zero of the polynomial q(x) = x²– mx – 6. Which of these is the value of m ?
(a) 1
(b) 2
(c) 3
(d) 4

Show Answer :

Answer :A

Question : Zero of the polynomial p(x), where p(x) = ax, a≠0 is :
(a) 1
(b) a
(c) 0
(d) 1/a

Show Answer :

Answer :C

Question : (1 + 3x)³ is an example of :
(a) monomial
(b) binomial
(c) trinomial
(d) none of these

Show Answer :

Answer 😀

Question : Which of the following is a polynomial?
(a) x²/3 – 5/x²
(b) 2x+1/3x+4
(c) √5x + 7
(d) x³+ 3x^5/2/√x

Show Answer :

Answer 😀

Question : Match the columns

(a) 1 (c); 2 (e); 3 (d); 4 (a); 5 (b)
(b) 1 (d); 2 (e); 3 (a); 4 (c); 5 (b)
(c) 1 (e); 2 (d); 3 (b); 4 (c); 5 (a)
(d) 1 (b); 2 (e); 3 (a); 4 (c); 5 (d)

Show Answer :

Answer :B

Read the following passage and answer the questions.
Smriti went to a orphanage and gave a cuboidal gift whose volume was given by a polynomial 4x³+ x²– 11x + 2r.

Question : What could be the breadth and height of the cuboid?
(a) (x + 2) and (x – 1)
(b) (x – 2) and (x + 1)
(c) (x + 2) and (x + 1)
(d) (x – 2) and (x – 1)

Show Answer :

Answer :A

Question : If length of the cuboid is (4x – 3), then value of r is
(a) 11
(b) 4
(c) 3
(d) 2

Show Answer :

Answer :C

Question : Cost of the gift given by Smriti at the rate of 5 per cubic units will be
(a) 180
(b) 90
(c) 900
(d) 450

Show Answer :

Answer 😀

Question : Degree of the polynomial is
(a) 4
(b) 3
(c) 2
(d) 1

Show Answer :

Answer :B

Question : If x = 3, then dimensions of the cuboid will be
(a) 9, 1 and 4
(b) 9, 5 and 2
(c) 9, 5 and 4
(d) 9, 1 and 2

Show Answer :

Answer :B

Question : x²-2x+1 is a polynomial in:
(a) One Variable
(b) Two Variables
(c) Three variable
(d) None of the above

Show Answer :

Answer :a
Explanation: x²-2x+1 can be written as x²-2x¹+1x⁰. Hence, we can see that x is the only variable having powers as whole numbers: 2,1 and 0.

Question : The coefficient of x² in 3x³+2x²-x+1 is:
(a) 1
(b) 2
(c) 3
(d) -1

Show Answer :

Answer :b
Explanation: The coefficient of x² in equation 3x³+2x²-x+1 is the multiple of x².

Question : A binomial of degree 20 in the following is:
(a) 20x + 1
(b) x/20 + 1
(c) x²⁰ +1
(d) x²+20

Show Answer :

Answer :c
Explanation: A polynomial having two terms and the highest degree 20 is called a binomial of degree 20.

Question : The degree of 4x³-12x²+3x+9 is
(a) 0
(b) 1
(c) 2
(d) 3

Show Answer :

Answer :d
Explanation: The degree is the highest power of a variable in an equation.

Question : x² – x is ________ polynomial.
(a) Linear
(b) Quadratic
(c) Cubic
(d) None of the above

Show Answer :

Answer :b
Explanation: A polynomial of degree two is known as a quadratic polynomial.

Question : x – x³ is a ________ polynomial.
(a) Linear
(b) Quadratic
(c) Cubic
(d) None of the above

Show Answer :

Answer :c
Explanation: A polynomial of degree three is known as a cubic polynomial.

Question : 1+3x is a _________ polynomial.
(a) Linear
(b) Quadratic
(c) Cubic
(d) None of the above

Show Answer :

Answer :a
Explanation: A polynomial of degree one is known as a linear polynomial.

Question : The value of f(x) = 5x−4x²+3 when x = -1, is:
(a) 3
(b) -12
(c) -6
(d) 6

Show Answer :

Answer :c
Explanation: When x= -1
f(x)=5x−4x²+3
f(−1)=5(−1) −4(−1)²+3
=−5–4+3
=−6

Question : The value of p(t) = 2+t+2t²−t³ when t=0 is
(a) 2
(b) 1
(c) 4
(d) 0

Show Answer :

Answer :a
Explanation: p(0)=2+0+2(0)²–(0)³=2

Question : Which of the following is an example of the quadratic polynomial?
(a) 7x+3
(b) 2x²+x-1
(c) x+3x³-9
(d) None of the above

Show Answer :

Answer : b
Explanation: 2x²+x-1 is a quadratic polynomial because the highest degree of the polynomial is 2.

Question : Find the value of 7²-5².
(a) 22
(b) 23
(c) 24
(d) 25

Show Answer :

Answer : c
Explanation: 7²-5² = 49 – 25 = 24.

Question : The zero of the polynomial f(x) = 2x+7 is
(a) 2/7
(b) -2/7
(c) 7/2
(d) -7/2

Show Answer :

Answer :d
Explanation: f(x)=2x+7
⇒2x+7=0
⇒2x=−7
⇒x=−7/2
∴x = −7/2 is a zero polynomial of the polynomial f(x).

Question : What is the degree of the polynomial √3?
(a) 0
(b) 1
(c) 1/2
(d) 2

Show Answer :

Answer : c
Explanation: The polynomial √3 can also be written as 3^1/2.
Hence, the degree of the polynomial √3 is 1/2.

Question : The degree of the constant polynomial is
(a) 0
(b) 1
(c) 2
(d) 3

Show Answer :

Answer : 0
Explanation: The degree of the constant polynomial is 0. For example, 3 is a constant polynomial that is equal to 3x⁰, and its degree is 0.

Question : One of the linear factors of 3x²+8x+5 is
(a) (x+1)
(b) (x-2)
(c) (x+2)
(d) (x-4)

Show Answer :

Answer : a
Explanation: 3x²+8x+5 = 3x²+ 3x+5x+5
3x²+8x+5 = 3x(x+1)+5(x+1)
3x²+8x+5 = (3x+5)(x+1)
Therefore, (x+1) is one of the factors of 3x²+8x+5.

Question : The coefficient of x in 7x²+6x-2 is
(a) 2
(b) 6
(c) -2
(d) 7

Show Answer :

Answer : b
Explanation: The coefficient of x in 7x²+6x-2 is 6. Because the number multiplied by x is 6.

Question : If x²+kx+6 = (x+2)(x+3) for all k, find the value of k.
(a) -1
(b) 1
(c) 3
(d) 5

Show Answer :

Answer : d
Explanation: x²+kx+6 = (x+2)(x+3)
x²+kx+6 = x²+3x+2x+6
x²+kx+6 = x²+5x+6
Hence, the value of k is 5.

Question : What is the zero of the polynomial p(x)=cx+d?
(a) -c
(b) -d
(c) -d/c
(d) d/c

Show Answer :

Answer : c
Explanation: The zero of the polynomial p(x)= cx+d is -d/c.
cx+d = 0
cx = -d
x = -d/c.

Question : The zero of the polynomial p(x) = -5x+5 is
(a) 0
(b) -5
(c) -1
(d) 1

Show Answer :

Answer : d
Explanation: p(x) = -5x+5
-5x+5 = 0
-5x = -5
x = -5/-5 =1

Question : which of the following is a constant polynomial?
(a) 4x+1
(b) 3
(c) 2x²
(d) 6x+3

Show Answer :

Answer : b
Explanation: 3 is a constant polynomial, as 3 = 3x⁰. Whereas 4x+1 and 6x+3 are linear polynomial and 2x² is a quadratic polynomial.

Question : A polynomial with one degree is called:
(a) Linear polynomial
(b) Quadratic polynomial
(c) Monomial
(d) Binomial

Show Answer :

Answer :(a) Linear polynomial

Question : The coefficient of x² in 3x³+2x²-x+1 is:
(a) 1
(b) 2
(c) 3
(d) -1

Show Answer :

Answer :(b) 2

Question : Find the value of 525² – 475².
(a) 100
(b) 10000
(c) 50000
(d) 100000

Show Answer :

Answer :(c) 50000

Question : x² – x is __ polynomial.
(a) Linear
(b) Quadratic
(c) Cubic
(d) None of the above

Show Answer :

Answer :(b) Quadratic

Question : The value of k for which x + 1 is a factor of the polynomial x3 + x2 + x + k is :-
(a) 0
(b) 2
(c) 1
(d) -1

Show Answer :

Answer :(c) 1

Question : The polynomial of type ax2 + bx + c, a = 0 is of type
(a) linear
(b) quadratic
(c) cubic
(d) Biquadratic

Show Answer :

Answer :(a) linear

Question : A polynomial of degree 5 in x has at most
(a) 5 terms
(b) 4 terms
(c) 6 terms
(d) 10 terms

Show Answer :

Answer :(c) 6 terms

Question : The degree of 4x³-12x²+3x+9 is
(a) 0
(b) 1
(c) 2
(d) 3

Show Answer :

Answer :(d) 3

Question : One of the factors of (x³ – 1) – (x – 1) is
(a) x² + 1
(b) x² – 1
(c) x – 1
(d) x + 4

Show Answer :

Answer :(c) x – 1

Question : Solution of a quadratic equation x²+ 5x – 6 = 0
(a) x = -1, x = 6
(b) x = 1, x = -6
(c) x = 1
(d) x = 6

Question :What is the degree of a zero polynomial?
(a) 0
(b) 1
(c) Any natural number
(d) Not defined

Show Answer :

Answer : (d) Not defined

Question :The zero of the polynomial f(x) = 2x+7 is
(a) $\frac { 2 }{ 7 }$
(b) $\frac { -2 }{ 7 }$
(c) $\frac { 7 }{ 2 }$
(d) $\frac { -7 }{ 2 }$

Show Answer :

Answer : (d) $\frac { -7 }{ 2 }$

Question :Find the value of a such that (x – 2) is the factor of the polynomial x⁴ + ax³ + 2x²– 3x
(a) a = $\frac { -3 }{ 4 }$
(b) a = $\frac { 3 }{ 4 }$
(c) a = $\frac { -9 }{ 4 }$
(d) a = $\frac { 9 }{ 4 }$

Show Answer :

Answer : (a) a = $\frac { -3 }{ 4 }$

Question :If x + 2 is a factor of x³ – 2ax² + 16, then value of a is
(a) 3
(b) 1
(c) 4
(d) 2

Show Answer :

Answer : (b) 1

Question :The value of p(t) = 2+t+2t²−t³ when t=0 is
(a) 2
(b) 1
(c) 4
(d) 0

Show Answer :

Answer : (a) 2

Show Answer :

Answer :(b) x = 1, x = -6

Question : Factorization of 103²-9 yields
(a) 10300
(b) 10600
(c) 11250
(d) 12500

Show Answer :

Answer :(b) 10600

Question : If 3 + 5 – 8 = 0, then the value of (3)³ + (5)³ – (8)³ is
(a) 260
(b) –360
(c) –160
(d) 160

Show Answer :

Answer :(b) –360

Question : The value of f(x) = 5x−4x²+3 when x = -1, is:
(a)3
(b)-12
(c)-6
(d)6

Show Answer :

Answer :(c)-6

Question : If x – 2 is a factor of 5x² – kx – 18, then find the value of k.
(a) -1
(b) 1
(c) 0
(d) 5

Show Answer :

Answer :(b) 1

Question : Evaluate (11)³
(a) 1313
(b) 1331
(c) 3131
(d) 3113

Show Answer :

Answer :(b) 1331

Question : Expansion of 2x(x + 2y) + 3x(2x – 3y) yields
(a) 8x² – 5xy
(b) 8x – 5y
(c) 3y – 2y
(d) None of these

Show Answer :

Answer :(a) 8x² – 5xy

Question : Degree of zero polynomial is:
(a) 1
(b) Any natural number
(c) 0
(d) Not defined

Show Answer :

Answer :(d) Not defined

Question : If 2x + 3y = 12 and xy = 5, find the value of 4x² + 9y².
(a) 67
(b) 98
(c) 56
(d) 84

Show Answer :

Answer :(d) 84

Question :One of the zeroes of the polynomial 2x² + 7x – 4 is
(a) 2
(b) 1/2
(c) − 1/2
(d) −2

Show Answer :

Answer :B

Question : √2 is a polynomial of degree
(a) 2
(b) 0
(c) 1
(d) 1/2

Show Answer :

Answer :B

Question : Degree of the polynomial 4x⁴+ 0x³+ 0x⁵+ 5x + 7 is
(a) 4
(b) 5
(c) 3
(d) 7

Show Answer :

Answer :A

Question : The factorization of 4x²+ 8x + 3 is
(a) (x + 1) (x + 3)
(b) (2x + 1) (2x + 3)
(c) (2x + 2) (2x + 5)
(d) (2x –1) (2x –3)

Show Answer :

Answer :B

Question : Zero of the zero polynomial is
(a) 0
(b) 1
(c) any real number
(d) not defined

Show Answer :

Answer :C

Question : If x/y + y/x =−1 ( x, y ≠ 0) , the value of x³– y³ is :
(a) 1
(b) −1
(c) 0
(d) 1/2

Show Answer :

Answer :C

Question : The value of p(t) = 2+t+2t²−t³ when t=0 is
(a)2
(b)1
(c)4
(d)0

Show Answer :

Answer :(a)2

Question : Find the value of p for which x + p is a factor of x² + px + 3 – p.
(a) 1
(b) -1
(c) 3
(d) -3

Show Answer :

Answer :(c) 3

CBSE Class 9 Mathematics MCQ Number System with Answers

NCERT Solutions & Download NCERT Textbooks

Number System : Exercise – 1.1	Polynomials : Exercise – 2.1
Number System : Exercise – 1.2	Polynomials : Exercise – 2.2
Number System : Exercise – 1.3	Polynomials : Exercise – 2.3
Number System : Exercise – 1.4	Coordinate Geometry : Exercise – 3.1
Number System : Exercise – 1.5	Coordinate Geometry : Exercise – 3.2
Number System : Exercise – 1.6	Coordinate Geometry : Exercise – 3.3
Linear Equations in Two Variables : Exercise – 4.1	Introduction to Euclid’s Geometry : Exercise – 5.1
Linear Equations in Two Variables : Exercise – 4.2	Introduction to Euclid’s Geometry : Exercise – 5.2
Linear Equations in Two Variables : Exercise – 4.3	Introduction to Euclid’s Geometry : Exercise – 5.3
Linear Equations in Two Variables : Exercise – 4,4	Lines And Angles : Exercise – 6.1
Triangles : Exercise – 7.1	Lines And Angles : Exercise – 6.2
Triangles : Exercise – 7.2	Lines And Angles : Exercise – 6.3
Triangles : Exercise – 7.3	Quadrilaterals : Exercise – 8.1
Triangles : Exercise – 7.4	Areas of Parallelograms and Triangles : Exercise – 9.1
Triangles : Exercise – 7.5	Areas of Parallelograms and Triangles : Exercise – 9.2
Circles : Exercise – 10.1	Areas of Parallelograms and Triangles : Exercise – 9.3
Circles : Exercise – 10.2	Areas of Parallelograms and Triangles : Exercise – 9.4
Circles : Exercise – 10.3	Constructions : Exercise – 11.1
Circles : Exercise – 10.4	Constructions : Exercise – 11.2
Circles : Exercise – 10.5	Heron’s Formula : Exercise – 12.1
Circles : Exercise – 10.6	Heron’s Formula : Exercise – 12.2
Surface Areas and Volumes : Exercise – 13.1	Statistics : Exercise – 14.1
Surface Areas and Volumes : Exercise – 13.2	Statistics : Exercise – 14.2
Surface Areas and Volumes : Exercise – 13.3	Statistics : Exercise – 14.3
Surface Areas and Volumes : Exercise – 13.4	Statistics : Exercise – 14.4
Surface Areas and Volumes : Exercise – 13.5	Probability : Exercise – 15.1
Surface Areas and Volumes : Exercise – 13.6
Surface Areas and Volumes : Exercise – 13.7
Surface Areas and Volumes : Exercise – 13.8
Surface Areas and Volumes : Exercise – 13.9

Class 9 Mathematics MCQ Polynomials

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NCERT Class 9 Mathematics MCQ Polynomials with Answers

CBSE Class 9 Mathematics MCQ Number System with Answers

CBSE Class 9 Science MCQ Improvement in Food Resources with Answers

MCQ Questions Electrical Engineering Series Parallel Circuit

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