CBSE Board Practice

CBSE Grade IX - Polynomials
Question 1
1.
    • The degree of polynomial
    • (
      8
      n
      2
       
      p
      3
       
      +
      5
      n
      o
      3
       
      p
      2
       
      3
      n
      o
      2
       
      p
      2
       
      3
      o
      2
       
      p
      +
      3
      o
      9
      p
      3
       
      +
      3
      )
    • is
  • 9
  • 6
  • 4
  • 7
  • 5
Question 2
2.
    • The remainder when
    • (
      7
      y
      4
      )
    • is divided by
    • (
      y
      +
      7
      )
    • is
  • 44
  • 46
  • 48
  • 45
  • 43
Question 3
3.
    • The expanded form of
    • (
      x
      +
      2
      )
    • (
      x
      +
      6
      )
    • (
      x
      +
      4
      )
    • (
      x
      +
      7
      )
    • is
  • (
    x
    4
     
    +
    19
    x
    3
     
    +
    128
    x
    2
     
    +
    356
    x
    +
    336
    )
  • (
    x
    4
     
    +
    19
    x
    3
     
    +
    128
    x
    2
     
    +
    356
    x
    +
    336
    )
  • (
    4
    x
    4
     
    +
    19
    x
    3
     
    +
    128
    x
    2
     
    +
    356
    x
    +
    336
    )
  • (
    2
    x
    4
     
    +
    19
    x
    3
     
    +
    128
    x
    2
     
    +
    356
    x
    +
    336
    )
  • (
    19
    x
    3
     
    +
    128
    x
    2
     
    +
    356
    x
    +
    336
    )
Question 4
4.
    • (
      2

      3
      a
      3
      b
      )
      3
       
  • (
    8

    27
    a
    3
     
    4
    a
    2
     
    b
    18
    a
    b
    2
     
    27
    b
    3
     
    )
  • (
    8

    29
    a
    3
     
    4
    a
    2
     
    b
    18
    a
    b
    2
     
    27
    b
    3
     
    )
  • (
    8

    27
    a
    3
     
    a
    2
     
    b
    18
    a
    b
    2
     
    27
    b
    3
     
    )
  • (
    8

    25
    a
    3
     
    4
    a
    2
     
    b
    18
    a
    b
    2
     
    27
    b
    3
     
    )
  • (
    8

    27
    a
    3
     
    6
    a
    2
     
    b
    18
    a
    b
    2
     
    27
    b
    3
     
    )
Question 5
5.
Which of the following algebraic expressions is a cubic polynomial?
  • (
    3
    p
    2
     
    3
    p
    +
    1
    )
  • (
    9
    p
    +
    6
    )
  • (
    7
    )
  • (
    4
    p
    5
     
    +
    3
    p
    4
     
    5
    p
    3
     
    +
    9
    p
    2
     
    +
    8
    )
  • (
    5
    p
    3
     
    2
    p
    2
     
    +
    7
    p
    +
    7
    )
Question 6
6.
    • Factorize
    •  
    • (
      a
      x
        +  
      b
      y
      )
      2
    • (
      a
      x
         
      b
      y
      )
      2
  • 4
    a
    x
    b
    y
  • 2
    a
    x
    b
    y
  • 4
    (
    a
    x
    )
    2
    (
    b
    y
    )
    2
  • 2
    (
    a
    x
    )
    2
    (
    b
    y
    )
    2
Question 7
7.
    • Factorize
    • (
      x
      2
       
      100
      )
      • (
        x
        +
        10
        )
      • (
        x
        +
        10
        )
      • (
        x
        +
        50
        )
      • (
        x
        2
        )
      • (
        x
        10
        )
      • (
        x
        10
        )
      • (
        x
        +
        10
        )
      • (
        x
        10
        )
      • (
        x
        50
        )
      • (
        x
        +
        2
        )
Question 8
8.
    • Evaluate :
    • 985 2
       
    • 15 2
       
  • 970985
  • 9700000
  • 97000
  • 970000
  • 970015
Question 9
9.
    • The value of
    • 493
    • 492
    • is
  • 242556
  • 242554
  • 242559
  • 242555
  • 242557
Question 10
10.
Which of the following algebraic expressions is a linear polynomial?
  • (
    9
    )
  • (
    2
    r
    3
     
    +
    7
    r
    2
     
    +
    r
    1
    )
  • (
    2
    r
    2
     
    +
    4
    r
    +
    4
    )
  • (
    7
    r
    1
    )
  • (
    6
    r
    5
     
    +
    r
    3
     
    4
    r
    2
     
    9
    r
    4
    )