CBSE Board Practice

Class VI Class VII Class VIII Class IX Class X
CBSE Grade X - Polynomials
Question 1
1.
    • The value of the polynomial
    • (
      a
      3
       
      +
      3
      a
      2
       
      +
      3
      a
      		)
    • at
    •  
    • a
    • =
    • (-1)
    • is
  • -3
  • -1
  • 0
  • -2
  • 2
Question 2
2.
    • Which of the displayed parabolae represents
    • the equation
    • y
      =
      (
      x
      2
       
      −
      6
      x
      +
      9
      		)
      • parabola with point
      • O
      • parabola with point
      • R
      • parabola with point
      • P
      • parabola with point
      • Q
Question 3
3.
    • Find the quadratic equation, the sum of whose roots is
    • 12
    • and product is
    • 36
  • (
    x
    2
     
    −
    10
    x
    +
    36
    		)
    =
    0
  • (
    x
    2
     
    −
    12
    x
    +
    36
    		)
    =
    0
  • (
    2
    x
    2
     
    −
    12
    x
    +
    36
    		)
    =
    0
  • (
    −
    12
    x
    +
    36
    		)
    =
    0
  • (
    x
    2
     
    −
    15
    x
    +
    36
    		)
    =
    0
Question 4
4.
    • Find the quadratic equation with roots
    • (
      8
      ,
      8
      )
  • (
    x
    2
     
    −
    16
    x
    +
    64
    		)
    =
    0
  • (
    x
    2
     
    −
    17
    x
    +
    72
    		)
    =
    0
  • (
    x
    2
     
    −
    18
    x
    +
    80
    		)
    =
    0
  • (
    x
    2
     
    −
    15
    x
    +
    56
    		)
    =
    0
  • (
    x
    2
     
    −
    14
    x
    +
    48
    		)
    =
    0
Question 5
5.
Which of the following are polynomials?
a)
    • x
      +
      1
      x
b)
    • (
      x
      +
      y
      		)
c)
    • (
      x
      +
      y
      		)
      (
      x
      −
      y
      		)
d)
    • x
      2
       
e)
    • x
      2
       
      +
      1
      x
      2
       
  • {b,d}
  • {a,b}
  • {e,a,b}
  • {c,d}
  • {c,d,b}
Question 6
6.
    • If
    • α
    • =
    • 3
      2
    • ,
    • β
    • =
    • 7
      4
    • ,
    • γ
    • =
    • 7
      2
    • are the roots of the cubic equation
    •  
       
      a
      x
      3
      		  +  
       
       
      b
      x
      2
      		  +  
       
       
      c
      x
      		  +  
       
       
      d
      = 0
    • ,
    • then find
    •  
    • c
      a
  • 14
  • (
    −
    14
    )
  • (
    −
    147
    16
    )
  • 27
    4
  • 147
    16
Question 7
7.
    • If the polynomial
    •  
    • 2
      x
      2
      		  +  
      b
      x
      		  +  
      a
    •  
    • is divided by
    • (
      x
      +
      4
      		)
    • ,
    • it leaves a remainder
    • 117
    • .
    • If it is divided by
    • (
      3
      x
      +
      3
      		)
    • ,
    • it leaves a remainder
    • 42
    • .
    • Find the value of
    • a
    • and
    • b
      • 26
      • ,
      • -15
      • -16
      • ,
      • 24
      • 25
      • ,
      • -15
      • 25
      • ,
      • -14
      • -14
      • ,
      • 26
Question 8
8.
    • From the graph, find the approximate values of '
    • x
    • ' for which
    • y
    • =
    • -4
      • -4.24
      • ,
      • 0.24
      • -3.24
      • ,
      • -0.76
      • -4.74
      • ,
      • 0.74
      • -3.74
      • ,
      • -0.26
      • -5.24
      • ,
      • 1.24
Question 9
9.
    • The quotient when
    • (
      4
      u
      2
       
      +
      7
      u
      −
      1
      		)
    • is divided by
    • (
      u
      −
      5
      		)
    • is
  • (
    7
    u
    +
    27
    		)
  • (
    4
    u
    +
    27
    		)
  • (
    5
    u
    +
    27
    		)
  • (
    2
    u
    +
    27
    		)
  • (
    3
    u
    +
    27
    		)
Question 10
10.
    • Find the remainder when
    • (
      6
      x
      2
       
      −
      6
      x
      −
      12
      		)
    • is divided by
    • (
      x
      −
      2
      		)
  • 0
  • 2
  • -2
  • -1
  • 1