EduSahara™ Assignment
Name : Polynomial Division
Chapter : Fundamental Concepts
Grade : ICSE Grade VIII
License : Non Commercial Use
Question 1
1.
    • The quotient when
    • (
      5
      z
      )
    • is divided by
    • 1
    • is
  • (i)
    (
    4
    z
    )
  • (ii)
    (
    6
    z
    )
  • (iii)
    (
    8
    z
    )
  • (iv)
    (
    2
    z
    )
  • (v)
    (
    5
    z
    )
Question 2
2.
    • The quotient when
    • (
      s
      2
       
      )
    • is divided by
    • (
      s
      +
      2
      )
    • is
  • (i)
    2
  • (ii)
    (
    s
    +
    2
    )
  • (iii)
    (
    3
    s
    +
    2
    )
  • (iv)
    (
    2
    s
    +
    2
    )
  • (v)
    (
    s
    +
    2
    )
Question 3
3.
    • The quotient when
    • (
      2
      z
      +
      7
      )
    • is divided by
    • (
      z
      +
      9
      )
    • is
  • (i)
    2
  • (ii)
    1
  • (iii)
    3
  • (iv)
    4
  • (v)
    0
Question 4
4.
    • The quotient when
    • (
      9
      g
      2
       
      +
      9
      g
      +
      4
      )
    • is divided by
    • (
      g
      5
      )
    • is
  • (i)
    (
    9
    g
    36
    )
  • (ii)
    (
    6
    g
    36
    )
  • (iii)
    (
    12
    g
    36
    )
  • (iv)
    (
    8
    g
    36
    )
  • (v)
    (
    10
    g
    36
    )
Question 5
5.
    • The quotient when
    • (
      5
      k
      2
       
      +
      2
      k
      )
    • is divided by
    • (
      k
      +
      8
      )
    • is
  • (i)
    (
    7
    k
    +
    42
    )
  • (ii)
    (
    4
    k
    +
    42
    )
  • (iii)
    (
    2
    k
    +
    42
    )
  • (iv)
    (
    6
    k
    +
    42
    )
  • (v)
    (
    5
    k
    +
    42
    )
Question 6
6.
    • The quotient when
    • (
      4
      g
      3
       
      6
      g
      2
       
      +
      9
      g
      )
    • is divided by
    • (
      g
      8
      )
    • is
  • (i)
    (
    2
    g
    2
     
    38
    g
    295
    )
  • (ii)
    (
    4
    g
    2
     
    38
    g
    295
    )
  • (iii)
    (
    7
    g
    2
     
    38
    g
    295
    )
  • (iv)
    (
    3
    g
    2
     
    38
    g
    295
    )
  • (v)
    (
    5
    g
    2
     
    38
    g
    295
    )
Question 7
7.
    • The quotient when
    • (
      6
      j
      4
       
      9
      j
      3
       
      8
      j
      2
       
      +
      2
      j
      +
      7
      )
    • is divided by
    • (
      j
      2
       
      +
      9
      j
      +
      14
      )
    • is
  • (i)
    (
    7
    j
    2
     
    +
    45
    j
    329
    )
  • (ii)
    (
    5
    j
    2
     
    +
    45
    j
    329
    )
  • (iii)
    (
    6
    j
    2
     
    +
    45
    j
    329
    )
  • (iv)
    (
    3
    j
    2
     
    +
    45
    j
    329
    )
  • (v)
    (
    9
    j
    2
     
    +
    45
    j
    329
    )
Question 8
8.
    • The quotient when
    • (
      8
      j
      5
       
      9
      j
      4
       
      +
      4
      j
      3
       
      j
      2
       
      +
      3
      j
      5
      )
    • is divided by
    • (
      j
      +
      6
      )
    • is
  • (i)
    (
    7
    j
    4
     
    57
    j
    3
     
    +
    346
    j
    2
     
    2077
    j
    +
    12465
    )
  • (ii)
    (
    10
    j
    4
     
    57
    j
    3
     
    +
    346
    j
    2
     
    2077
    j
    +
    12465
    )
  • (iii)
    (
    6
    j
    4
     
    57
    j
    3
     
    +
    346
    j
    2
     
    2077
    j
    +
    12465
    )
  • (iv)
    (
    9
    j
    4
     
    57
    j
    3
     
    +
    346
    j
    2
     
    2077
    j
    +
    12465
    )
  • (v)
    (
    8
    j
    4
     
    57
    j
    3
     
    +
    346
    j
    2
     
    2077
    j
    +
    12465
    )
Question 9
9.
    • The remainder when
    • (
      8
      p
      )
    • is divided by
    • (
      5
      )
    • is
  • (i)
    0
  • (ii)
    (
    3
    )
  • (iii)
    1
  • (iv)
    (
    1
    )
  • (v)
    2
Question 10
10.
    • The remainder when
    • (
      7
      u
      2
       
      )
    • is divided by
    • (
      u
      8
      )
    • is
  • (i)
    (
    447
    )
  • (ii)
    (
    449
    )
  • (iii)
    (
    451
    )
  • (iv)
    (
    446
    )
  • (v)
    (
    448
    )
Question 11
11.
    • The remainder when
    • (
      2
      s
      2
      )
    • is divided by
    • (
      s
      8
      )
    • is
  • (i)
    14
  • (ii)
    13
  • (iii)
    15
  • (iv)
    12
  • (v)
    17
Question 12
12.
    • The remainder when
    • (
      5
      p
      2
       
      +
      8
      p
      )
    • is divided by
    • (
      p
      8
      )
    • is
  • (i)
    (
    253
    )
  • (ii)
    (
    255
    )
  • (iii)
    (
    258
    )
  • (iv)
    (
    256
    )
  • (v)
    (
    257
    )
Question 13
13.
    • The remainder when
    • (
      8
      m
      2
       
      4
      m
      +
      2
      )
    • is divided by
    • (
      m
      +
      3
      )
    • is
  • (i)
    (
    58
    )
  • (ii)
    (
    59
    )
  • (iii)
    (
    56
    )
  • (iv)
    (
    57
    )
  • (v)
    (
    60
    )
Question 14
14.
    • The remainder when
    • (
      n
      2
       
      2
      n
      +
      5
      )
    • is divided by
    • (
      n
      1
      )
    • is
  • (i)
    3
  • (ii)
    2
  • (iii)
    4
  • (iv)
    1
  • (v)
    0
Question 15
15.
    • The remainder when
    • (
      2
      b
      4
       
      8
      b
      3
       
      4
      b
      2
       
      +
      9
      b
      3
      )
    • is divided by
    • (
      b
      7
      )
    • is
  • (i)
    1921
  • (ii)
    1920
  • (iii)
    1924
  • (iv)
    1922
  • (v)
    1923
Question 16
16.
    • The remainder when
    • (
      a
      4
       
      7
      a
      3
       
      a
      +
      9
      )
    • is divided by
    • (
      a
      2
       
      +
      14
      a
      +
      45
      )
    • is
  • (i)
    (
    2545
    a
    11196
    )
  • (ii)
    (
    2543
    a
    11196
    )
  • (iii)
    (
    2542
    a
    11196
    )
  • (iv)
    (
    2540
    a
    11196
    )
  • (v)
    (
    2541
    a
    11196
    )
Question 17
17.
    • (
      3
      x
      3
       
      3
      x
      2
       
      27
      x
      +
      27
      )
    • ÷
    • (
      x
      2
       
      9
      )
    • =
  • (i)
    (
    3
    x
    3
    )
  • (ii)
    (
    2
    x
    3
    )
  • (iii)
    (
    3
    x
    3
    )
  • (iv)
    (
    4
    x
    3
    )
  • (v)
    (
    3
    x
    +
    3
    )
Question 18
18.
    • (
      36
      x
      4
       
      y
      3
       
      +
      180
      x
      3
       
      y
      4
       
      )
    • ÷
    • 6
      x
      2
       
      y
      2
       
    • =
  • (i)
    (
    6
    x
    2
     
    y
    +
    30
    x
    y
    2
     
    )
  • (ii)
    (
    6
    x
    3
     
    y
    3
     
    +
    30
    x
    y
    2
     
    )
  • (iii)
    (
    6
    x
    3
     
    y
    2
     
    +
    30
    x
    y
    2
     
    )
  • (iv)
    (
    6
    x
    2
     
    y
    +
    30
    x
    y
    3
     
    z
    )
  • (v)
    (
    6
    x
    2
     
    y
    +
    30
    y
    3
     
    )
Question 19
19.
    • (
      112
      x
      4
       
      y
      3
       
      z
      3
       
      +
      16
      x
      3
       
      y
      2
       
      z
      4
       
      +
      784
      x
      3
       
      y
      2
       
      z
      3
       
      )
    • ÷
    • 4
      x
      2
       
      y
      z
      2
       
    • =
  • (i)
    (
    28
    x
    2
     
    y
    2
     
    z
    +
    4
    x
    y
    2
     
    z
    3
     
    +
    196
    x
    y
    z
    )
  • (ii)
    (
    28
    x
    2
     
    y
    2
     
    z
    +
    196
    x
    y
    z
    +
    4
    y
    2
     
    z
    2
     
    )
  • (iii)
    (
    28
    x
    3
     
    y
    4
     
    z
    +
    4
    x
    y
    z
    2
     
    +
    196
    x
    y
    z
    )
  • (iv)
    (
    28
    x
    2
     
    y
    2
     
    z
    +
    4
    x
    y
    z
    2
     
    +
    196
    x
    y
    z
    )
  • (v)
    (
    28
    x
    3
     
    y
    3
     
    z
    +
    4
    x
    y
    z
    2
     
    +
    196
    x
    y
    z
    )
Question 20
20.
    • (
      3
      x
      3
       
      +
      15
      x
      2
       
      )
    • ÷
    • 3
      x
  • (i)
    (
    x
    2
     
    5
    x
    )
  • (ii)
    (
    x
    2
     
    +
    6
    x
    )
  • (iii)
    (
    x
    2
     
    +
    5
    x
    )
  • (iv)
    (
    x
    2
     
    +
    5
    x
    )
  • (v)
    5
    x
Question 21
21.
    • (
      10
      x
      4
       
      +
      35
      x
      3
       
      +
      25
      x
      2
       
      )
    • ÷
    • (
      5
      x
      2
       
      +
      5
      x
      )
  • (i)
    (
    x
    2
     
    +
    5
    x
    )
  • (ii)
    (
    2
    x
    2
     
    +
    6
    x
    )
  • (iii)
    (
    2
    x
    2
     
    +
    5
    x
    )
  • (iv)
    (
    2
    x
    2
     
    5
    x
    )
  • (v)
    (
    2
    x
    2
     
    +
    5
    x
    )
Question 22
22.
    • (
      30
      x
      4
       
      45
      x
      3
       
      180
      x
      2
       
      105
      x
      )
    • ÷
    • (
      6
      x
      2
       
      15
      x
      21
      )
  • (i)
    (
    5
    x
    2
     
    +
    5
    x
    )
  • (ii)
    (
    5
    x
    2
     
    +
    6
    x
    )
  • (iii)
    (
    5
    x
    2
     
    5
    x
    )
  • (iv)
    (
    5
    x
    2
     
    +
    4
    x
    )
  • (v)
    (
    5
    x
    2
     
    +
    5
    x
    )
Question 23
23.
    • Find the remainder when
    • (
      6
      x
      2
       
      +
      7
      x
      20
      )
    • is divided by
    • (
      2
      x
      +
      3
      )
  • (i)
    -18
  • (ii)
    -16
  • (iii)
    -15
  • (iv)
    -20
  • (v)
    -17
    Assignment Key

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