EduSahara™ Assignment
Name : Polynomial Division
Chapter : Fundamental Concepts
Grade : ICSE Grade VIII
License : Non Commercial Use
Question 1
1.
    • The quotient when
    • 5
      a
    • is divided by
    • (
      5
      )
    • is
  • (i)
    (
    4
    a
    )
  • (ii)
    (
    a
    )
  • (iii)
    (
    2
    a
    )
  • (iv)
    2
    a
  • (v)
    0
Question 2
2.
    • The quotient when
    • (
      3
      e
      2
       
      )
    • is divided by
    • (
      e
      7
      )
    • is
  • (i)
    (
    3
    e
    21
    )
  • (ii)
    (
    5
    e
    21
    )
  • (iii)
    (
    2
    e
    21
    )
  • (iv)
    (
    21
    )
  • (v)
    (
    4
    e
    21
    )
Question 3
3.
    • The quotient when
    • (
      3
      v
      +
      4
      )
    • is divided by
    • (
      v
      2
      )
    • is
  • (i)
    2
  • (ii)
    6
  • (iii)
    0
  • (iv)
    4
  • (v)
    3
Question 4
4.
    • The quotient when
    • (
      8
      z
      2
       
      +
      4
      z
      +
      6
      )
    • is divided by
    • (
      z
      1
      )
    • is
  • (i)
    (
    8
    z
    4
    )
  • (ii)
    (
    11
    z
    4
    )
  • (iii)
    (
    9
    z
    4
    )
  • (iv)
    (
    6
    z
    4
    )
  • (v)
    (
    7
    z
    4
    )
Question 5
5.
    • The quotient when
    • (
      6
      r
      2
       
      6
      r
      )
    • is divided by
    • (
      r
      +
      9
      )
    • is
  • (i)
    (
    4
    r
    +
    48
    )
  • (ii)
    (
    7
    r
    +
    48
    )
  • (iii)
    (
    5
    r
    +
    48
    )
  • (iv)
    (
    6
    r
    +
    48
    )
  • (v)
    (
    8
    r
    +
    48
    )
Question 6
6.
    • The quotient when
    • (
      6
      e
      3
       
      7
      e
      2
       
      5
      e
      )
    • is divided by
    • (
      e
      +
      1
      )
    • is
  • (i)
    (
    6
    e
    2
     
    13
    e
    +
    8
    )
  • (ii)
    (
    4
    e
    2
     
    13
    e
    +
    8
    )
  • (iii)
    (
    5
    e
    2
     
    13
    e
    +
    8
    )
  • (iv)
    (
    7
    e
    2
     
    13
    e
    +
    8
    )
  • (v)
    (
    8
    e
    2
     
    13
    e
    +
    8
    )
Question 7
7.
    • The quotient when
    • (
      f
      4
       
      +
      2
      f
      3
       
      2
      f
      2
       
      +
      4
      f
      2
      )
    • is divided by
    • (
      f
      9
      )
    • is
  • (i)
    (
    4
    f
    3
     
    7
    f
    2
     
    65
    f
    581
    )
  • (ii)
    (
    f
    3
     
    7
    f
    2
     
    65
    f
    581
    )
  • (iii)
    (
    2
    f
    3
     
    7
    f
    2
     
    65
    f
    581
    )
  • (iv)
    (
    7
    f
    2
     
    65
    f
    581
    )
  • (v)
    (
    f
    3
     
    7
    f
    2
     
    65
    f
    581
    )
Question 8
8.
    • The quotient when
    • (
      9
      e
      5
       
      6
      e
      4
       
      6
      e
      3
       
      2
      e
      2
       
      +
      2
      e
      +
      3
      )
    • is divided by
    • (
      e
      4
      )
    • is
  • (i)
    (
    9
    e
    4
     
    42
    e
    3
     
    174
    e
    2
     
    698
    e
    2790
    )
  • (ii)
    (
    10
    e
    4
     
    42
    e
    3
     
    174
    e
    2
     
    698
    e
    2790
    )
  • (iii)
    (
    11
    e
    4
     
    42
    e
    3
     
    174
    e
    2
     
    698
    e
    2790
    )
  • (iv)
    (
    6
    e
    4
     
    42
    e
    3
     
    174
    e
    2
     
    698
    e
    2790
    )
  • (v)
    (
    8
    e
    4
     
    42
    e
    3
     
    174
    e
    2
     
    698
    e
    2790
    )
Question 9
9.
    • The remainder when
    • 5
      y
    • is divided by
    • (
      5
      )
    • is
  • (i)
    2
  • (ii)
    0
  • (iii)
    1
  • (iv)
    (
    1
    )
  • (v)
    (
    2
    )
Question 10
10.
    • The remainder when
    • (
      4
      c
      2
       
      )
    • is divided by
    • (
      c
      +
      2
      )
    • is
  • (i)
    (
    19
    )
  • (ii)
    (
    15
    )
  • (iii)
    (
    13
    )
  • (iv)
    (
    17
    )
  • (v)
    (
    16
    )
Question 11
11.
    • The remainder when
    • (
      4
      q
      7
      )
    • is divided by
    • (
      q
      1
      )
    • is
  • (i)
    (
    14
    )
  • (ii)
    (
    12
    )
  • (iii)
    (
    10
    )
  • (iv)
    (
    9
    )
  • (v)
    (
    11
    )
Question 12
12.
    • The remainder when
    • (
      y
      2
       
      5
      y
      )
    • is divided by
    • (
      y
      +
      5
      )
    • is
  • (i)
    (
    2
    )
  • (ii)
    (
    1
    )
  • (iii)
    0
  • (iv)
    2
  • (v)
    1
Question 13
13.
    • The remainder when
    • (
      6
      f
      2
       
      8
      f
      +
      6
      )
    • is divided by
    • (
      f
      +
      4
      )
    • is
  • (i)
    (
    55
    )
  • (ii)
    (
    61
    )
  • (iii)
    (
    58
    )
  • (iv)
    (
    57
    )
  • (v)
    (
    59
    )
Question 14
14.
    • The remainder when
    • (
      7
      e
      3
       
      +
      9
      e
      +
      4
      )
    • is divided by
    • (
      e
      7
      )
    • is
  • (i)
    2467
  • (ii)
    2469
  • (iii)
    2465
  • (iv)
    2471
  • (v)
    2468
Question 15
15.
    • The remainder when
    • (
      2
      p
      4
       
      p
      3
       
      2
      p
      2
       
      +
      p
      3
      )
    • is divided by
    • (
      p
      2
       
      +
      p
      56
      )
    • is
  • (i)
    (
    175
    p
    6443
    )
  • (ii)
    (
    171
    p
    6443
    )
  • (iii)
    (
    169
    p
    6443
    )
  • (iv)
    (
    173
    p
    6443
    )
  • (v)
    (
    172
    p
    6443
    )
Question 16
16.
    • The remainder when
    • (
      4
      t
      4
       
      +
      3
      t
      2
       
      4
      t
      +
      7
      )
    • is divided by
    • (
      t
      2
       
      13
      t
      +
      42
      )
    • is
  • (i)
    (
    4453
    t
    21455
    )
  • (ii)
    (
    4455
    t
    21455
    )
  • (iii)
    (
    4454
    t
    21455
    )
  • (iv)
    (
    4457
    t
    21455
    )
  • (v)
    (
    4456
    t
    21455
    )
Question 17
17.
    • (
      18
      x
      3
       
      +
      57
      x
      2
       
      +
      57
      x
      +
      18
      )
    • ÷
    • (
      6
      x
      2
       
      13
      x
      6
      )
    • =
  • (i)
    (
    4
    x
    3
    )
  • (ii)
    (
    2
    x
    3
    )
  • (iii)
    (
    3
    x
    3
    )
  • (iv)
    (
    3
    x
    +
    3
    )
  • (v)
    (
    3
    x
    3
    )
Question 18
18.
    • (
      36
      x
      2
       
      y
      3
       
      +
      216
      x
      2
       
      y
      2
       
      )
    • ÷
    • 6
      x
      y
    • =
  • (i)
    (
    6
    x
    2
     
    y
    4
     
    +
    36
    x
    y
    )
  • (ii)
    (
    6
    x
    y
    2
     
    +
    36
    x
    y
    )
  • (iii)
    (
    6
    x
    2
     
    y
    3
     
    +
    36
    x
    y
    )
  • (iv)
    (
    36
    x
    y
    2
     
    z
    +
    6
    x
    y
    2
     
    )
  • (v)
    (
    6
    x
    y
    2
     
    +
    36
    y
    2
     
    )
Question 19
19.
    • (
      336
      x
      4
       
      y
      3
       
      z
      3
       
      +
      16
      x
      4
       
      y
      2
       
      z
      4
       
      +
      48
      x
      4
       
      y
      2
       
      z
      3
       
      )
    • ÷
    • 4
      x
      2
       
      y
      z
      2
       
    • =
  • (i)
    (
    84
    x
    3
     
    y
    3
     
    z
    +
    4
    x
    2
     
    y
    z
    2
     
    +
    12
    x
    2
     
    y
    z
    )
  • (ii)
    (
    84
    x
    3
     
    y
    4
     
    z
    +
    4
    x
    2
     
    y
    z
    2
     
    +
    12
    x
    2
     
    y
    z
    )
  • (iii)
    (
    84
    x
    2
     
    y
    2
     
    z
    +
    4
    x
    2
     
    y
    z
    2
     
    +
    12
    x
    2
     
    y
    z
    )
  • (iv)
    (
    4
    x
    2
     
    y
    2
     
    z
    3
     
    +
    84
    x
    2
     
    y
    2
     
    z
    +
    12
    x
    2
     
    y
    z
    )
  • (v)
    (
    84
    x
    2
     
    y
    2
     
    z
    +
    12
    x
    2
     
    y
    z
    +
    4
    x
    y
    2
     
    z
    2
     
    )
Question 20
20.
    • (
      2
      x
      4
       
      +
      x
      3
       
      )
    • ÷
    • x
      2
       
  • (i)
    (
    2
    x
    2
     
    +
    x
    )
  • (ii)
    (
    2
    x
    2
     
    +
    x
    )
  • (iii)
    (
    2
    x
    2
     
    x
    )
  • (iv)
    (
    x
    2
     
    +
    x
    )
  • (v)
    (
    2
    x
    2
     
    +
    2
    x
    )
Question 21
21.
    • (
      15
      x
      4
       
      +
      26
      x
      3
       
      +
      8
      x
      2
       
      )
    • ÷
    • (
      5
      x
      2
       
      +
      2
      x
      )
  • (i)
    (
    3
    x
    2
     
    +
    5
    x
    )
  • (ii)
    (
    3
    x
    2
     
    4
    x
    )
  • (iii)
    (
    2
    x
    2
     
    +
    4
    x
    )
  • (iv)
    (
    3
    x
    2
     
    +
    4
    x
    )
  • (v)
    (
    3
    x
    2
     
    +
    4
    x
    )
Question 22
22.
    • (
      x
      4
       
      7
      x
      3
       
      21
      x
      2
       
      +
      27
      x
      )
    • ÷
    • (
      x
      2
       
      10
      x
      +
      9
      )
  • (i)
    (
    x
    2
     
    +
    3
    x
    )
  • (ii)
    (
    x
    2
     
    +
    2
    x
    )
  • (iii)
    (
    x
    2
     
    +
    3
    x
    )
  • (iv)
    (
    x
    2
     
    +
    4
    x
    )
  • (v)
    (
    x
    2
     
    3
    x
    )
Question 23
23.
    • Find the remainder when
    • (
      2
      x
      2
       
      +
      8
      x
      24
      )
    • is divided by
    • (
      2
      x
      +
      2
      )
  • (i)
    -31
  • (ii)
    -33
  • (iii)
    -30
  • (iv)
    -29
  • (v)
    -27
    Assignment Key

  •  1) (ii)
  •  2) (i)
  •  3) (v)
  •  4) (i)
  •  5) (iv)
  •  6) (i)
  •  7) (v)
  •  8) (i)
  •  9) (ii)
  •  10) (v)
  •  11) (v)
  •  12) (iii)
  •  13) (iii)
  •  14) (v)
  •  15) (v)
  •  16) (ii)
  •  17) (iii)
  •  18) (ii)
  •  19) (iii)
  •  20) (i)
  •  21) (iv)
  •  22) (iii)
  •  23) (iii)