CBSE Board Practice

CBSE Grade X - Polynomials
Question 1
1.
    • The sum of the roots of the quadratic equation
    • (
      x
      2
       
      2
      x
      +
      1
      )
      =
      0
    • is
  • 4
  • 3
  • 1
  • -1
  • 2
Question 2
2.
    • (
      128
      x
      4
       
      y
      4
       
      z
      2
       
      +
      16
      x
      4
       
      y
      3
       
      z
      3
       
      +
      64
      x
      3
       
      y
      3
       
      z
      3
       
      )
    • ÷
    • 4
      x
      2
       
      y
      2
       
      z
    • =
  • (
    32
    x
    3
     
    y
    3
     
    z
    +
    4
    x
    2
     
    y
    z
    2
     
    +
    16
    x
    y
    z
    2
     
    )
  • (
    32
    x
    2
     
    y
    2
     
    z
    +
    4
    x
    2
     
    y
    z
    2
     
    +
    16
    x
    y
    z
    2
     
    )
  • (
    4
    x
    2
     
    y
    2
     
    z
    3
     
    +
    32
    x
    2
     
    y
    2
     
    z
    +
    16
    x
    y
    z
    2
     
    )
  • (
    32
    x
    3
     
    y
    4
     
    z
    +
    4
    x
    2
     
    y
    z
    2
     
    +
    16
    x
    y
    z
    2
     
    )
  • (
    32
    x
    2
     
    y
    2
     
    z
    +
    4
    x
    y
    2
     
    z
    2
     
    +
    16
    x
    y
    z
    2
     
    )
Question 3
3.
    • Find the roots of the quadratic equation
    • (
      12
      x
      2
       
      4
      x
      1
      )
      =
      0
  • (
    3

    2
    ,
    (
    -1

    4
    )
    )
  • (
    1

    4
    ,
    (
    -1

    4
    )
    )
  • (
    1

    4
    ,
    (
    -1

    6
    )
    )
  • (
    1

    2
    ,
    (
    -1

    6
    )
    )
  • (
    3

    2
    ,
    (
    -1

    2
    )
    )
Question 4
4.
    • The given table of points satisfy which parabola equation?
    • x
      -3
      -2
      -1
      0
      1
      2
      3
      y
      0
      0
      2
      6
      12
      20
      30
  • y
    =
    (
    2
    x
    2
     
    +
    5
    x
    +
    6
    )
  • y
    =
    (
    x
    2
     
    +
    8
    x
    +
    6
    )
  • y
    =
    (
    x
    2
     
    +
    5
    x
    +
    6
    )
  • y
    =
    (
    5
    x
    +
    6
    )
  • y
    =
    (
    x
    2
     
    +
    2
    x
    +
    6
    )
Question 5
5.
    • Find the quadratic equation, the sum of whose roots is
    • (
      -16

      9
      )
    • and product is
    • (
      -35

      27
      )
  • (
    28
    x
    2
     
    48
    x
    +
    35
    )
    =
    0
  • (
    26
    x
    2
     
    48
    x
    +
    35
    )
    =
    0
  • (
    27
    x
    2
     
    46
    x
    +
    35
    )
    =
    0
  • (
    27
    x
    2
     
    51
    x
    +
    35
    )
    =
    0
  • (
    27
    x
    2
     
    48
    x
    +
    35
    )
    =
    0
Question 6
6.
    • The product of the roots of the quadratic equation
    • (
      x
      2
       
      14
      x
      +
      49
      )
      =
      0
    • is
  • 50
  • 52
  • 49
  • 48
  • 46
Question 7
7.
    • The degree of the polynomial
    • (
      9
      h
      4
       
      +
      4
      h
      3
       
      8
      h
      2
       
      )
    • is
  • 2
  • 7
  • 4
  • 3
  • 5
Question 8
8.
    • Find the table of points that satisfy
    • the parabola equation
    • y
      =
      (
      3
      x
      2
       
      4
      x
      1
      )
  • x
    -2
    -1
    0
    0
    2
    y
    -5
    0
    -1
    -7
    -21
  • x
    -2
    -1
    0
    1
    4
    y
    -5
    0
    -1
    -8
    -19
  • x
    -2
    -1
    -2
    1
    2
    y
    -5
    0
    -3
    -8
    -21
  • x
    -2
    -1
    0
    1
    2
    y
    -5
    0
    -1
    -8
    -21
  • x
    -2
    -1
    1
    1
    2
    y
    -5
    0
    -2
    -8
    -21
Question 9
9.
    • The product of the roots of the quadratic equation
    • (
      36
      x
      2
       
      60
      x
      +
      25
      )
      =
      0
    • is
  • 25

    38
  • 3

    4
  • 25

    34
  • 23

    36
  • 25

    36
Question 10
10.
    • The quotient when
    • (
      6
      a
      2
       
      3
      a
      )
    • is divided by
    • (
      a
      9
      )
    • is
  • (
    5
    a
    +
    51
    )
  • (
    4
    a
    +
    51
    )
  • (
    7
    a
    +
    51
    )
  • (
    8
    a
    +
    51
    )
  • (
    6
    a
    +
    51
    )