CBSE Board Practice

CBSE Grade X - Polynomials
Question 1
1.
    • The parabola is
    • x
      =
      2
      y
      2
       
    • and
    • line equation is
    • x
      =
      0
    • . Find the quadratic equation.
  • 4
    y
    2
     
    =
    0
  • 0
    =
    0
  • y
    2
     
    =
    0
  • 3
    y
    2
     
    =
    0
  • 2
    y
    2
     
    =
    0
Question 2
2.
    • Find the table of points that satisfy
    • the parabola equation
    • y
      =
      (
      x
      2
       
      )
  • x
    -2
    -1
    0
    1
    4
    y
    -4
    -1
    0
    -1
    -2
  • x
    -2
    -1
    0
    1
    2
    y
    -4
    -1
    0
    -1
    -4
  • x
    -2
    -1
    1
    2
    y
    -4
    -1
    -1
    -4
  • x
    -2
    -1
    0
    2
    y
    -4
    -1
    0
    -4
  • x
    -2
    -1
    -2
    1
    2
    y
    -4
    -1
    -2
    -1
    -4
Question 3
3.
    • Find the roots of the quadratic equation
    • (
      x
      2
       
      6
      x
      +
      9
      )
      =
      0
  • no real roots
  • (
    4
    ,
    4
    )
  • (
    3
    ,
    3
    )
  • (
    7
    ,
    3
    )
  • (
    4
    ,
    3
    )
Question 4
4.
    • The remainder when
    • q
    • is divided by
    • (
      4
      )
    • is
  • 2
  • (
    3
    )
  • (
    1
    )
  • 1
  • 0
Question 5
5.
    • (
      36
      x
      4
       
      111
      x
      3
       
      27
      x
      2
       
      +
      210
      x
      )
    • ÷
    • (
      9
      x
      2
       
      39
      x
      +
      42
      )
  • (
    4
    x
    2
     
    +
    5
    x
    )
  • (
    4
    x
    2
     
    +
    4
    x
    )
  • (
    4
    x
    2
     
    5
    x
    )
  • (
    4
    x
    2
     
    +
    5
    x
    )
  • (
    4
    x
    2
     
    +
    6
    x
    )
Question 6
6.
    • Which of the following is not a factor of
    • 9
      x
      y
      2
       
      z
    • ?
  • z
  • y
    2
     
    z
  • x
    2
     
    y
    3
     
    z
  • x
    y
    2
     
  • x
    y
    z
Question 7
7.
Which of the following are not polynomials?
a)
    • (
      28
      x
      2
       
      60
      x
      y
      72
      y
      2
       
      )
b)
    • x
      +
      1

      x
c)
    • (
      7
      x
      +
      6
      y
      )

      (
      4
      x
      12
      y
      )
d)
    • (
      7
      x
      +
      6
      y
      )
e)
    • 121
      x
      2
       
  • {b,c}
  • {a,b}
  • {e,a,b}
  • {d,c,b}
  • {d,c}
Question 8
8.
    • The axis and origin of the parabola
    • y
      =
      (
      2
      x
      2
       
      )
    • are
      • x
        =
        0
      • ,
      • (
        0
        ,
        0
        )
      • x
        =
        (
        1
        )
      • ,
      • (
        1
        ,
        0
        )
      • x
        =
        1
      • ,
      • (
        -1
        ,
        0
        )
      • x
        =
        2
      • ,
      • (
        1
        ,
        0
        )
Question 9
9.
    • Find the table of points that satisfy
    • the parabola equation
    • y
      =
      (
      x
      2
       
      +
      6
      x
      +
      8
      )
  • x
    -2
    -1
    0
    1
    2
    y
    0
    3
    8
    15
    24
  • x
    -2
    -1
    0
    1
    4
    y
    0
    3
    8
    15
    26
  • x
    -2
    -1
    1
    1
    2
    y
    0
    3
    7
    15
    24
  • x
    -2
    -1
    -2
    1
    2
    y
    0
    3
    6
    15
    24
  • x
    -2
    -1
    0
    0
    2
    y
    0
    3
    8
    16
    24
Question 10
10.
    • Find the value of
    • k
    • such that
    •  
    • 4
      x
      3
         
      18
      x
      2
        +  
      k
      x
    •  
    • is exactly divisible by
    • (
      x
      4
      )
  • 7
  • 10
  • 9
  • 6
  • 8