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

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