EduSahara™ Assignment
Name : Concepts
Chapter : Algebraic Expressions
Grade : SSC Grade VIII
License : Non Commercial Use
Question 1
1.
    • The degree of polynomial
    • (
      4
      e
      f
      +
      8
      e
      +
      8
      f
      +
      1
      )
    • is
  • (i)
    4
  • (ii)
    3
  • (iii)
    2
  • (iv)
    0
  • (v)
    1
Question 2
2.
    • The degree of polynomial
    • (
      s
      2
       
      t
      2
       
      4
      s
      2
       
      t
      +
      4
      t
      8
      )
    • is
  • (i)
    3
  • (ii)
    5
  • (iii)
    1
  • (iv)
    4
  • (v)
    7
Question 3
3.
    • The degree of polynomial
    • (
      6
      l
      2
       
      m
      n
      +
      l
      2
       
      m
      6
      l
      2
       
      +
      l
      m
      m
      2
       
      n
      2
       
      )
    • is
  • (i)
    5
  • (ii)
    4
  • (iii)
    6
  • (iv)
    1
  • (v)
    3
Question 4
4.
    • The degree of polynomial
    • (
      7
      i
      3
       
      k
      2
       
      6
      i
      3
       
      5
      i
      2
       
      j
      k
      6
      i
      j
      2
       
      k
      +
      9
      j
      3
       
      k
      3
       
      8
      k
      2
       
      2
      )
    • is
  • (i)
    8
  • (ii)
    3
  • (iii)
    5
  • (iv)
    7
  • (v)
    6
Question 5
5.
    • The constant term in polynomial
    • (
      2
      x
      y
      +
      6
      x
      y
      +
      9
      )
    • is
  • (i)
    10
  • (ii)
    8
  • (iii)
    9
  • (iv)
    12
  • (v)
    6
Question 6
6.
    • The coefficient of term
    • g
      2
       
    • in polynomial
    • (
      2
      g
      2
       
      5
      g
      h
      2
       
      +
      7
      h
      2
       
      +
      5
      h
      )
    • is
  • (i)
    -3
  • (ii)
    -4
  • (iii)
    0
  • (iv)
    -1
  • (v)
    -2
Question 7
7.
    • The coefficient of term
    • l
      2
       
    • in polynomial
    • (
      4
      l
      2
       
      m
      +
      5
      l
      2
       
      5
      l
      m
      2
       
      n
      2
       
      l
      m
      n
      2
       
      +
      2
      )
    • is
  • (i)
    6
  • (ii)
    4
  • (iii)
    8
  • (iv)
    3
  • (v)
    5
Question 8
8.
    • The coefficient of term
    • g
      3
       
      h
      2
       
      i
      3
       
    • in polynomial
    • (
      3
      g
      3
       
      h
      2
       
      i
      3
       
      7
      g
      3
       
      h
      i
      2
       
      6
      g
      3
       
      i
      3
       
      +
      9
      g
      2
       
      h
      3
       
      i
      +
      5
      g
      h
      2
       
      i
      2
       
      9
      g
      h
      i
      3
       
      +
      3
      h
      2
       
      i
      3
       
      )
    • is
  • (i)
    3
  • (ii)
    4
  • (iii)
    2
  • (iv)
    5
  • (v)
    1
Question 9
9.
Which of the following algebraic expressions is a monomial?
  • (i)
    (
    5
    x
    y
    3
     
    5
    x
    y
    )
  • (ii)
    (
    3
    x
    3
     
    y
    3
     
    z
    3
     
    +
    x
    y
    2
     
    z
    3
     
    7
    x
    y
    +
    8
    y
    z
    3
     
    )
  • (iii)
    (
    8
    x
    3
     
    y
    3
     
    z
    )
  • (iv)
    (
    9
    x
    3
     
    y
    3
     
    z
    3
     
    6
    x
    3
     
    z
    3
     
    3
    x
    3
     
    +
    6
    x
    y
    3
     
    z
    2
     
    )
  • (v)
    (
    2
    x
    3
     
    y
    2
     
    9
    x
    2
     
    y
    2
     
    z
    3
     
    +
    4
    x
    y
    3
     
    z
    )
Question 10
10.
Which of the following algebraic expressions is a binomial?
  • (i)
    (
    2
    k
    3
     
    l
    3
     
    m
    3
     
    k
    l
    2
     
    m
    3
     
    2
    k
    m
    3
     
    9
    l
    m
    3
     
    )
  • (ii)
    (
    7
    k
    2
     
    l
    6
    k
    m
    )
  • (iii)
    (
    3
    k
    3
     
    l
    m
    2
    k
    3
     
    m
    3
     
    +
    2
    k
    2
     
    5
    m
    )
  • (iv)
    (
    8
    k
    3
     
    l
    +
    5
    k
    l
    m
    3
     
    8
    l
    m
    2
     
    )
  • (v)
    6
    k
    l
    2
     
    m
    3
     
Question 11
11.
Which of the following algebraic expressions is a trinomial?
  • (i)
    (
    2
    v
    +
    5
    )
  • (ii)
    (
    9
    v
    2
     
    w
    x
    )
  • (iii)
    (
    4
    v
    3
     
    w
    x
    2
     
    2
    v
    2
     
    w
    2
     
    x
    2
     
    8
    v
    w
    x
    2
     
    9
    w
    3
     
    x
    2
     
    )
  • (iv)
    (
    8
    w
    3
     
    x
    +
    4
    w
    2
     
    x
    3
     
    6
    w
    2
     
    )
  • (v)
    (
    6
    v
    w
    x
    3
     
    3
    v
    w
    x
    2
     
    +
    6
    v
    w
    x
    +
    4
    v
    )
Question 12
12.
Which of the following algebraic expressions is a constant polynomial?
  • (i)
    (
    3
    u
    3
     
    v
    3
     
    w
    +
    6
    u
    3
     
    w
    2
     
    +
    8
    w
    2
     
    )
  • (ii)
    7
  • (iii)
    9
    u
    3
     
    v
    3
     
    w
    3
     
  • (iv)
    (
    2
    u
    3
     
    w
    2
     
    2
    u
    v
    2
     
    w
    )
  • (v)
    (
    7
    u
    2
     
    v
    2
     
    w
    u
    2
     
    w
    +
    5
    u
    v
    2
     
    w
    6
    v
    2
     
    )
Question 13
13.
Which of the following algebraic expressions is a zero polynomial?
  • (i)
    (
    6
    l
    m
    3
     
    +
    5
    l
    n
    2
     
    )
  • (ii)
    (
    8
    l
    3
     
    m
    2
     
    6
    l
    3
     
    n
    3
     
    7
    l
    m
    3
     
    n
    3
     
    )
  • (iii)
    (
    7
    l
    3
     
    +
    7
    l
    m
    2
     
    n
    +
    3
    m
    3
     
    n
    3
     
    +
    4
    m
    n
    3
     
    )
  • (iv)
    0
  • (v)
    (
    9
    l
    3
     
    m
    2
     
    n
    )
Question 14
14.
    • The degree of polynomial
    • (
      r
      s
      3
      r
      s
      4
      )
    • is
  • (i)
    0
  • (ii)
    1
  • (iii)
    5
  • (iv)
    2
  • (v)
    3
Question 15
15.
    • The degree of polynomial
    • (
      3
      e
      2
       
      f
      2
       
      +
      3
      e
      f
      2
       
      7
      f
      2
       
      5
      f
      )
    • is
  • (i)
    5
  • (ii)
    4
  • (iii)
    3
  • (iv)
    1
  • (v)
    7
Question 16
16.
    • The degree of polynomial
    • (
      3
      j
      2
       
      l
      2
       
      +
      4
      j
      2
       
      7
      j
      k
      2
       
      4
      j
      l
      5
      k
      2
       
      )
    • is
  • (i)
    5
  • (ii)
    4
  • (iii)
    2
  • (iv)
    3
  • (v)
    6
Question 17
17.
    • The degree of polynomial
    • (
      9
      q
      3
       
      r
      7
      q
      2
       
      r
      s
      3
       
      3
      q
      2
       
      s
      2
       
      9
      q
      r
      s
      3
       
      +
      4
      q
      r
      7
      q
      2
      )
    • is
  • (i)
    7
  • (ii)
    3
  • (iii)
    5
  • (iv)
    6
  • (v)
    9
Question 18
18.
    • The constant term in polynomial
    • (
      7
      p
      q
      +
      8
      p
      +
      3
      q
      7
      )
    • is
  • (i)
    -5
  • (ii)
    -9
  • (iii)
    -7
  • (iv)
    -8
  • (v)
    -6
Question 19
19.
    • The coefficient of term
    • n
      2
       
      o
    • in polynomial
    • (
      9
      n
      2
       
      o
      +
      6
      n
      o
      2
       
      5
      n
      o
      +
      3
      o
      )
    • is
  • (i)
    8
  • (ii)
    9
  • (iii)
    6
  • (iv)
    10
  • (v)
    11
Question 20
20.
    • The coefficient of term
    • l
      2
       
    • in polynomial
    • (
      8
      k
      2
       
      l
      6
      k
      2
       
      m
      +
      5
      k
      l
      +
      6
      l
      2
       
      m
      )
    • is
  • (i)
    6
  • (ii)
    8
  • (iii)
    3
  • (iv)
    5
  • (v)
    7
Question 21
21.
    • The coefficient of term
    • s
      3
       
      u
      3
       
    • in polynomial
    • (
      9
      s
      3
       
      t
      3
       
      u
      3
       
      2
      s
      3
       
      u
      3
       
      6
      s
      3
       
      u
      2
       
      8
      s
      2
       
      t
      2
       
      u
      3
       
      +
      8
      s
      t
      3
       
      u
      3
      s
      t
      u
      3
       
      +
      4
      s
      u
      3
       
      )
    • is
  • (i)
    -1
  • (ii)
    -5
  • (iii)
    -3
  • (iv)
    0
  • (v)
    -2
Question 22
22.
Which of the following algebraic expressions is a monomial?
  • (i)
    (
    5
    d
    e
    2
     
    f
    5
    d
    f
    2
     
    8
    d
    +
    6
    e
    f
    2
     
    )
  • (ii)
    (
    d
    2
     
    e
    3
     
    +
    5
    d
    2
     
    7
    d
    e
    f
    3
     
    +
    6
    e
    f
    )
  • (iii)
    (
    5
    d
    2
     
    f
    2
     
    3
    e
    2
     
    5
    e
    f
    )
  • (iv)
    9
    d
    3
     
    e
    3
     
    f
    2
     
  • (v)
    (
    d
    2
     
    e
    3
     
    f
    2
     
    +
    8
    d
    2
     
    e
    2
     
    f
    )
Question 23
23.
Which of the following algebraic expressions is a binomial?
  • (i)
    (
    5
    n
    2
     
    o
    3
     
    p
    3
     
    +
    9
    o
    3
     
    p
    )
  • (ii)
    (
    3
    n
    o
    2
     
    p
    )
  • (iii)
    (
    5
    n
    3
     
    o
    2
     
    p
    +
    8
    n
    2
     
    o
    3
     
    p
    2
     
    6
    n
    2
     
    o
    3
     
    p
    +
    n
    o
    p
    )
  • (iv)
    (
    2
    n
    3
     
    o
    3
     
    +
    3
    n
    o
    +
    3
    o
    p
    2
     
    +
    5
    )
  • (v)
    (
    2
    n
    2
     
    o
    2
     
    p
    3
     
    5
    n
    o
    3
     
    6
    n
    o
    p
    )
Question 24
24.
Which of the following algebraic expressions is a trinomial?
  • (i)
    5
    n
    o
    p
    2
     
  • (ii)
    (
    n
    p
    3
     
    +
    5
    o
    p
    3
     
    9
    p
    )
  • (iii)
    (
    n
    3
     
    o
    3
     
    p
    2
     
    +
    8
    n
    o
    2
     
    p
    3
     
    +
    2
    o
    p
    2
     
    +
    2
    o
    p
    )
  • (iv)
    (
    9
    n
    3
     
    p
    2
     
    4
    n
    o
    3
     
    p
    3
     
    )
  • (v)
    (
    7
    n
    o
    3
     
    p
    2
     
    2
    n
    o
    p
    3
     
    +
    9
    n
    o
    +
    o
    )
Question 25
25.
Which of the following algebraic expressions is a constant polynomial?
  • (i)
    (
    7
    l
    2
     
    m
    n
    3
     
    l
    2
     
    m
    )
  • (ii)
    (
    8
    l
    m
    3
     
    4
    l
    m
    n
    3
    m
    2
     
    +
    n
    3
     
    )
  • (iii)
    4
  • (iv)
    (
    3
    l
    3
     
    m
    2
     
    +
    8
    l
    2
     
    m
    3
     
    n
    +
    9
    m
    n
    2
     
    )
  • (v)
    3
    l
    m
    n
Question 26
26.
Which of the following algebraic expressions is a zero polynomial?
  • (i)
    (
    2
    b
    2
     
    c
    d
    3
     
    4
    b
    d
    9
    b
    )
  • (ii)
    (
    3
    b
    d
    3
     
    6
    c
    2
     
    d
    3
     
    )
  • (iii)
    (
    3
    b
    c
    2
     
    d
    3
     
    )
  • (iv)
    (
    8
    b
    2
     
    +
    5
    c
    2
     
    d
    3
     
    +
    8
    c
    +
    5
    d
    )
  • (v)
    0
    Assignment Key

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