MCQ | CHAPTER 2 | POLYNOMIALS

Q1) How many points will the graph of x² + 2x + 1 will cut the x-axis?
a) 3
b) 2
c) 1
d) 0
Ans: b

Ans: c

Q4) Which of the following is a polynomial

a) x² + 2x + 5

Ans: a

Q5) Which of the following is not a polynomial ?
a) x² + 5x + 10
b) x ^{– 2} + 2x + 4
c) x¹² + 10x
d) 5x + 4 

Ans b

Q6) If the zeros of a polynomial are 3 and -5, then they cut the x-axis at ____ and _____ points.
a) (8, 0) and (-4, 0)
b) (3, -3) and (-5, 5)
c) (-3, 0) and (5, 0)
d) (3, 0) and (-5, 0)
Ans: d

Q7) The sum and product of zeros of a quadratic polynomial are 10 and 5/2 respectively. What will be the quadratic polynomial?
a) 2x² – 20x + 10
b) 2x² – x + 5
c) 2x² – 20x + 5
d) x² – 20x + 5 

Ans c

Q8) If α and β are the zeros of x² + 20x – 80, then the value of α + β is
a) -15
b) -5
c) -10
d) -20
Ans d

Q9) If α and β are the zeros of 3x² – 5x – 15, then the value of αβ is
a) -5
b) – 10
c) – 15
d) – 20
Ans: a

Q 10) What will be the value of other zero, if one zero of the quadratic polynomial is 5 and the sum of the zeros is 10?
a) 10
b) 5
c) -5
d) -10
Ans: b

Q 11) The value of a and b, if the zeros of x² + (a + 5)x – (b – 4) are -5 and 9 will be
a) 47, -5
b) -5, 47
c) -9, 49
d) -4, 45 

Ans: c

Q13) If α, β and γ are the zeros of 5x³ + 10x² – x + 20, then the value of αβγ is
a) -1
b) 5
c) -10
d) – 4
Ans: d

Q14) If α, β and γ are the zeros of 2x³ – 6x² + 5x + 2, then the value of α + β + γ is
a) 0
b) 1
c) 3
d) 2
Ans c

Q15) If the two zeros of the polynomial x³ – 9x² -x + 9, are 1 and 9, then the third zero is
a) 9
b) 1
c) 2
d) -1
Ans: d

Q 16) 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
Ans: d

Q 18) A quadratic polynomial, whose zeroes are -4 and -5, is
(a) x² – 9x + 20
(b) x² + 9x + 20
(c) x² – 9x – 20
(d) x² + 9x – 20 

Ans b

Q19) If x³ + 1 is divided by x² + 5, then the possible degree of
quotient is
(a) 0
(b) 1
(c) 2
(d) 3
Ans b

Q 20) If x³ + 11 is divided by x² – 3, then the possible degree of remainder is
(a) 0
(b) 1
(c) 2
(d) less than 2
Ans: d

Q 22) If x⁵ + 2x⁴ + x + 6 is divided by g(x) and quotient is x² + 5x + 7, then the possible degree of remainder is:
(a) less than 1
(b) less than 2
(c) less than 3
(d) less than 4
Ans: c

Q 23) What is the number of zeroes that a linear polynomial has/have:
(a) 0
(b) 1
(c) 2
(d) 3 

Ans: b

Q 24) What is the number(s) of zeroes that a quadratic polynomial has/have:
(a) 0
(b) 1
(c) 2
(d) 3 

Ans c

Q 25) What is the number(s) of zeroes that a cubic polynomial has/have:
(a) 0
(b) 1
(c) 2
(d) 3 

Ans: d

Q 30) If x⁴ + 3x² + 7 is divided by 3x + 5, then the possible degrees of quotient and remainder are:
(a) 3, 0
(b) 4, 1
(c) 3, 1
(d) 4, 0

Q 31) What is the degree of a linear polynomial :
a) 0
b) 1
c) 2
d) 3 

Ans: b

Q 32) Degree of a constant polynomial is :
a) 0
b) 1
c) 2
d) 3
Ans: a

Q 33) Graphical representation of a linear polynomial is :
a) Parabola
b) Origin
c) Straight Line
d) Circle
Ans: c

Q 34)Graphical representation of a quadratic polynomial is :
a) Parabola
b) Origin
c) Straight Line
d) Circle
Ans: a

Q 35) Form a quadratic polynomial whose zeroes are – 2 and 3 :
a) x² + x – 6
b) x² + x + 6
c) x² – x – 6
d) x² + 2x – 6
Ans: c

Q 36) The sum of zeroes of bx² + ax + c

Q 37) If one zero of a quadratic polynomial ax² + bx + c is zero then c =
a) 0



Ans: a

Q 40) If one zero of 5x² – (k + 2)x + 3 is negative of the other then find k
a) 2
b) – 4
c) – 2
d) 4
Ans : c

Q 41)  Find a, if one zero
of  ax² + (a – 4)x + 3 is
reciprocal of other
a) – 3
b) 2
c) – 2
d) 3 

Ans: d

Q 42)   If     are zeroes of 
2x² – 4x + 5  then 

 =  

a) 1
b) 4
c) – 1
d) – 4
Ans: c

Q 43)  Find k , If    

  are zeroes of 
x² – 6x + k  such
that  = 40

a) 2
b) – 3
c) 3
d) – 2
Ans: d

Q 44) A quadratic polynomial, whose zeroes are – 3 and 4, is

a) x² – x +
12                                              

b) x² – x –
12                     

c)  2x² – x + 18                                            

d) 2x² – x – 24

Ans:  b

Questions from CBSE Sample Paper 2021-22 
Basic Maths SP (241) & Standard Maths SP (041)

(a) p = r = 2
(b) p = r = – 2
(c) p = 2, r = – 2
(d) p = – 2, r = 2 

Ans: b

Q 48) The number of quadratic polynomials having zeroes – 2 and 5 is :
a) 1
b) 2
c) 3
d) More than 3 

Ans: a

a)  x² + 5x + 6                                        

b)  x² + 5x – 6

c)  x² – 5x + 6                                        

d)  x² – 5x – 6

Ans:  c

a) 2
b) 4
c) 3
d) 1 

Ans: b