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

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