Maths MCQ Class IX Ch-2 | Polynomials

MCQ | CHAPTER - 2 | CLASS IX  POLYNOMIALS

Q1) x² - 2x + 1 is a polynomial in:

a) One Variable

b) Two Variables

c) Three variable

d) None of the above

Answer: a

Q2) Find the value of 525² – 475².

a) 100
b) 10000
c) 50000
d) 100000

Answer c

Q3) The coefficient of x² in 3x³ + 2x² – x + 1 is:

a) 1

b) 2

c) 3

d) -1

Answer: b

Q4) A binomial of degree 20 in the following is:

a) 20x + 1

b) x/20 + 1

c) x²⁰ +1

d) x² + 20

Answer: c

Q5) One of the factors of (1 + 3y)² + (9y² – 1) is

a) 1 – 3y
b) 3 – y
c) 3y + 1
d) y – 3

Answer c

Q6) The degree of 4x³ - 12x² + 3x + 9 is

a) 0

b) 1

c) 2

d) 3

Answer: d

Q7) One of the factors of (x³ – 1) – (x – 1) is

a) x² + 1
b) x² – 1
c) x – 1
d) x + 4

Answer c

Q8) x² – x is ________ polynomial.

a) Linear

b) Quadratic

c) Cubic

d) None of the above

Answer: b

Q9) If x – 2 is a factor of 5x² – kx – 18, then find the value of k.

a) -1
b) 1
c) 0
d) 5

Answer b

Q10) x – x³ is a ________ polynomial.

a) Linear

b) Quadratic

c) Cubic

d) None of the above

Answer: c

Q11) Find the coefficient of x² in (3x² – 5) (4 + 4x²).

a) 12
b) 5
c) -8
d) 8

Answer c

Q12) 1+3x is a _________ polynomial.

a) Linear

b) Quadratic

c) Cubic

d) None of the above

Answer: a

Q13) 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

Answer c

Q14) The value of f(x) = 5x − 4x² + 3 when x = -1, is:

a) 3

b) -12

c) -6

d) 6

Answer: c

Q15) The value of p(t) = 2 + t + 2t² − t³ when t = 0 is

a) 2

b) 1

c) 4

d) 0

Answer: a

Q16) Find the remainder on dividing 5y³ – 2y² – 7y + 1 by y.

a) -1
b) 1
c) 0
d) 2

Answer b

Q17) The zero of the polynomial f(x) = 2x+7 is

a) 2/7

b) -2/7

c) 7/2

d) -7/2

Answer: d

Q18) One of the factors of (16y² – 1) + (1 – 4y)²

a) (4 + a)
b) (4 – y)
c) (4y + 1)
d) 8y

Answer d

Q19) What is the degree of the polynomial √3?

a) 0

b) 1

c) 1/2

d) 2

Answer: a

Q20) If the area of the rectangle is 4x² + 4x – 3, then find its possible dimensions.

a) 2x – 3, 2x + 1
b) 2x – 1, 2x + 3
c) 3x + 1, 2x – 3
d) 3x – 1, 2x + 3

Answer b

Q21)  The degree of the constant polynomial is

a) 0

b) 1

c) 2

d) 3

Answer: 0

Q22) For what value of b, if the polynomial x³ – 3x² + bx – 6 is divisible by x – 3?

a) 1
b) 2
c) 3
d) -3

Answer b

Q23) One of the linear factors of 3x² + 8x + 5 is

a) (x + 1)

b) (x - 2)

c) (x + 2)

d) (x - 4)

Answer: a

Q24) The coefficient of x in 7x² + 6x - 2 is 

a) 2

b) 6

c) -2

d) 7

Answer: b

Q25) 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

Answer: b

Q26) Find the value of 7² - 5².

a) 22

b) 23

c) 24

d) 25

Answer: c

Q27) If      , then the value of        is

a) 8
b) 14
c) 16
d) 20 

Answer b

Q28) If x² + kx + 6 = (x + 2)(x + 3) for all k, find the value of k.

a) -1

b) 1

c) 3

d) 5

Answer: d

Q 29) What is remainder when x³ – 2x² + x + 1 is divided by x – 1 ?

a) 0
b) -1
c) 1
d) 2

Answer c

Q30) which of the following is a constant polynomial?

a) 4x+1

b) 3

c) 2x²

d) 6x+3

Answer: b

Q31) If a + b + c = 0, then the value of a³ + b³ + c³

a) abc
b) -3abc
c) 0
d) 3abc

Answer d

Q32) x² - 2x + 1 is a polynomial in:

a) One Variable
b) Two Variables
c) Three variable
d) None of the above

Answer a

Q33) The degree of 4x³ -12x² + 3x + 9 is

a) 0
b) 1
c) 2
d) 3

Answer d

Q34) The value of p(t) = 2 + t + 2t² − t³ when t = 0 is

a) 2
b) 1
c) 4
d) 0

Answer a

Q35) Degree of the polynomial 7x⁵ + 8x² – 5x + 3 is:

a) 1
b) 3
c) 2
d) 5

Answer d

Q36) The value of the polynomial 7x⁴ + 3x² – 4, when x = – 2 is:

a) 100
b) 110
c) 120
d) 130

Answer c

Q37) The value of 99² – 98² is:

a) 1
b) 197
c) 187
d) 207

Answer b

Q38) The factorization of 6x² + 11x + 3 is:

a) (3x + 1) (2x + 3)
b) (x + 1) (2x + 3)
c) (x + 3) (2x + 1)
d) (3x + 3) (x + 1)

Answer a

Q39) If y⁹⁷ + 97 is divided by y + 1, the remainder is:

a) 0
b) 1
c) 95
d) 96

Answer d

Q40) What is the degree of a zero polynomial?

a) 0
b) 1
c) Any natural number
d) Not defined

Answer d

Q41) The zero of the polynomial p(x) = -9x + 9 is:

a) 0
b) -9
c) 1
d) -1

Answer c 

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