EduSahara™ Assignment
Name : Algebraic Expression Concepts
Chapter : Fundamental Concepts
Grade : ICSE Grade VIII
License : Non Commercial Use
Question 1
1.
    • The degree of the polynomial
    • (
      4
      g
      9
      )
    • is
  • (i)
    4
  • (ii)
    0
  • (iii)
    2
  • (iv)
    1
  • (v)
    (-2)
Question 2
2.
    • The degree of the polynomial
    • (
      8
      x
      2
       
      4
      x
      +
      2
      )
    • is
  • (i)
    5
  • (ii)
    1
  • (iii)
    3
  • (iv)
    (-1)
  • (v)
    2
Question 3
3.
    • The degree of the polynomial
    • (
      9
      x
      4
       
      +
      7
      x
      3
       
      +
      2
      x
      2
       
      )
    • is
  • (i)
    2
  • (ii)
    4
  • (iii)
    5
  • (iv)
    3
  • (v)
    6
Question 4
4.
    • The degree of the polynomial
    • (
      m
      4
       
      m
      3
       
      +
      5
      m
      2
       
      m
      8
      )
    • is
  • (i)
    1
  • (ii)
    7
  • (iii)
    4
  • (iv)
    3
  • (v)
    5
Question 5
5.
    • The coefficient of term
    • q
    • in polynomial
    • (
      4
      q
      +
      6
      )
    • is
  • (i)
    4
  • (ii)
    7
  • (iii)
    5
  • (iv)
    1
  • (v)
    3
Question 6
6.
    • The coefficient of term
    • b
      2
       
    • in polynomial
    • (
      4
      b
      2
       
      2
      b
      +
      1
      )
    • is
  • (i)
    5
  • (ii)
    2
  • (iii)
    4
  • (iv)
    3
  • (v)
    7
Question 7
7.
    • The coefficient of term
    • g
    • in polynomial
    • (
      g
      3
       
      +
      8
      g
      2
       
      9
      g
      +
      3
      )
    • is
  • (i)
    -10
  • (ii)
    -8
  • (iii)
    -7
  • (iv)
    -11
  • (v)
    -9
Question 8
8.
    • The coefficient of term
    • j
      3
       
    • in polynomial
    • (
      6
      j
      4
       
      5
      j
      3
       
      5
      j
      2
       
      j
      +
      9
      )
    • is
  • (i)
    -6
  • (ii)
    -3
  • (iii)
    -5
  • (iv)
    -4
  • (v)
    -8
Question 9
9.
Which of the following algebraic expressions is a monomial?
  • (i)
    (
    6
    e
    4
     
    4
    e
    3
     
    9
    e
    2
     
    +
    5
    e
    +
    7
    )
  • (ii)
    (
    5
    e
    2
     
    +
    3
    e
    )
  • (iii)
    9
    e
    2
     
  • (iv)
    (
    8
    e
    4
     
    5
    e
    +
    3
    )
  • (v)
    (
    6
    e
    4
     
    +
    9
    e
    3
     
    +
    5
    e
    2
     
    5
    e
    7
    )
Question 10
10.
Which of the following algebraic expressions is a binomial?
  • (i)
    (
    5
    t
    )
  • (ii)
    (
    4
    t
    4
     
    +
    6
    t
    2
     
    4
    )
  • (iii)
    (
    2
    t
    4
     
    +
    4
    t
    3
     
    +
    7
    t
    2
     
    5
    t
    +
    3
    )
  • (iv)
    (
    8
    t
    +
    5
    )
  • (v)
    (
    t
    4
     
    +
    2
    t
    3
     
    +
    4
    t
    2
     
    6
    t
    8
    )
Question 11
11.
Which of the following algebraic expressions is a trinomial?
  • (i)
    7
    f
  • (ii)
    (
    9
    f
    4
     
    +
    9
    f
    3
     
    +
    9
    f
    2
     
    +
    8
    f
    +
    3
    )
  • (iii)
    (
    6
    f
    4
     
    +
    4
    f
    2
     
    7
    )
  • (iv)
    (
    6
    f
    4
     
    +
    2
    f
    3
     
    +
    9
    f
    2
     
    2
    f
    +
    2
    )
  • (v)
    (
    3
    f
    4
     
    6
    f
    2
     
    )
Question 12
12.
Which of the following algebraic expressions is a constant polynomial?
  • (i)
    (
    3
    j
    4
     
    +
    4
    j
    3
     
    +
    8
    j
    2
     
    )
  • (ii)
    (
    2
    j
    2
     
    4
    )
  • (iii)
    2
    j
    2
     
  • (iv)
    (
    8
    j
    4
     
    6
    j
    3
     
    5
    j
    2
     
    4
    j
    +
    4
    )
  • (v)
    5
Question 13
13.
Which of the following algebraic expressions is a zero polynomial?
  • (i)
    (
    5
    y
    4
     
    +
    8
    y
    3
     
    +
    y
    2
     
    +
    5
    y
    +
    8
    )
  • (ii)
    0
  • (iii)
    (
    2
    y
    4
     
    2
    )
  • (iv)
    (
    5
    y
    4
     
    4
    y
    7
    )
  • (v)
    (
    3
    y
    )
Question 14
14.
Which of the following algebraic expressions is a constant polynomial?
  • (i)
    (
    4
    t
    5
     
    2
    t
    3
     
    4
    t
    2
     
    6
    t
    +
    1
    )
  • (ii)
    (
    4
    t
    2
     
    t
    9
    )
  • (iii)
    (
    t
    3
     
    9
    t
    2
     
    2
    t
    4
    )
  • (iv)
    (
    9
    t
    6
    )
  • (v)
    (
    6
    )
Question 15
15.
Which of the following algebraic expressions is a linear polynomial?
  • (i)
    (
    5
    q
    3
     
    4
    q
    2
     
    2
    q
    7
    )
  • (ii)
    (
    7
    q
    5
     
    3
    q
    4
     
    +
    5
    q
    3
     
    q
    +
    9
    )
  • (iii)
    (
    7
    q
    4
    )
  • (iv)
    (
    8
    )
  • (v)
    (
    5
    q
    2
     
    6
    q
    +
    7
    )
Question 16
16.
Which of the following algebraic expressions is a quadratic polynomial?
  • (i)
    (
    6
    w
    5
     
    +
    7
    w
    3
     
    4
    w
    2
     
    5
    w
    +
    6
    )
  • (ii)
    (
    w
    +
    5
    )
  • (iii)
    (
    6
    w
    2
     
    +
    8
    w
    +
    8
    )
  • (iv)
    7
  • (v)
    (
    4
    w
    3
     
    3
    w
    2
     
    9
    w
    2
    )
Question 17
17.
Which of the following algebraic expressions is a cubic polynomial?
  • (i)
    (
    6
    d
    2
    )
  • (ii)
    1
  • (iii)
    (
    6
    d
    2
     
    +
    9
    d
    8
    )
  • (iv)
    (
    d
    5
     
    +
    4
    d
    4
     
    +
    7
    d
    2
     
    +
    6
    d
    6
    )
  • (v)
    (
    3
    d
    3
     
    +
    9
    d
    2
     
    +
    8
    d
    +
    5
    )
Question 18
18.
    • The degree of polynomial
    • (
      9
      n
      o
      7
      n
      8
      o
      3
      )
    • is
  • (i)
    1
  • (ii)
    2
  • (iii)
    4
  • (iv)
    3
  • (v)
    (-1)
Question 19
19.
    • The degree of polynomial
    • (
      9
      x
      2
       
      y
      2
       
      4
      x
      2
      y
      2
      )
    • is
  • (i)
    4
  • (ii)
    7
  • (iii)
    3
  • (iv)
    2
  • (v)
    5
Question 20
20.
    • The degree of polynomial
    • (
      5
      v
      2
       
      x
      5
      v
      2
       
      4
      v
      w
      2
       
      x
      +
      3
      w
      3
      x
      2
       
      )
    • is
  • (i)
    4
  • (ii)
    1
  • (iii)
    5
  • (iv)
    6
  • (v)
    3
Question 21
21.
    • The degree of polynomial
    • (
      6
      a
      3
       
      b
      3
       
      8
      a
      2
       
      b
      3
       
      c
      3
       
      7
      a
      2
       
      b
      c
      3
       
      +
      6
      a
      2
       
      b
      c
      +
      4
      a
      2
       
      2
      a
      b
      +
      b
      3
       
      c
      )
    • is
  • (i)
    7
  • (ii)
    10
  • (iii)
    5
  • (iv)
    9
  • (v)
    8
Question 22
22.
    • The coefficient of term
    • c
    • in polynomial
    • (
      4
      c
      d
      +
      9
      c
      d
      +
      8
      )
    • is
  • (i)
    10
  • (ii)
    11
  • (iii)
    9
  • (iv)
    6
  • (v)
    8
Question 23
23.
    • The coefficient of term
    • e
      f
      2
       
    • in polynomial
    • (
      7
      e
      2
       
      f
      +
      7
      e
      f
      2
       
      +
      5
      e
      f
      +
      6
      e
      )
    • is
  • (i)
    7
  • (ii)
    6
  • (iii)
    8
  • (iv)
    9
  • (v)
    4
Question 24
24.
    • The coefficient of term
    • u
      v
      w
      2
       
    • in polynomial
    • (
      u
      2
       
      +
      6
      u
      v
      2
       
      w
      2
       
      +
      7
      u
      v
      w
      2
       
      6
      v
      2
       
      +
      v
      w
      2
       
      )
    • is
  • (i)
    9
  • (ii)
    8
  • (iii)
    7
  • (iv)
    6
  • (v)
    4
Question 25
25.
    • The coefficient of term
    • i
      2
       
      j
      3
       
    • in polynomial
    • (
      7
      h
      3
       
      i
      3
       
      +
      h
      3
       
      i
      2
       
      j
      5
      h
      2
       
      i
      2
       
      j
      2
       
      5
      h
      2
       
      i
      2
       
      4
      h
      2
       
      j
      3
       
      +
      7
      i
      2
       
      j
      3
       
      +
      i
      2
       
      )
    • is
  • (i)
    7
  • (ii)
    10
  • (iii)
    6
  • (iv)
    4
  • (v)
    8
Question 26
26.
Which of the following algebraic expressions is a monomial?
  • (i)
    j
    k
    2
     
    l
  • (ii)
    (
    6
    j
    3
     
    k
    3
     
    l
    3
     
    +
    8
    j
    2
     
    l
    3
     
    +
    9
    j
    k
    2
     
    l
    2
     
    8
    j
    k
    2
     
    )
  • (iii)
    (
    2
    j
    3
     
    k
    2
     
    l
    +
    4
    k
    3
     
    )
  • (iv)
    (
    9
    j
    3
     
    k
    2
     
    l
    +
    3
    j
    2
     
    k
    2
     
    8
    j
    k
    3
     
    )
  • (v)
    (
    7
    j
    3
     
    k
    3
     
    +
    4
    j
    k
    2
     
    l
    2
     
    +
    8
    j
    k
    l
    +
    4
    k
    l
    )
Question 27
27.
Which of the following algebraic expressions is a binomial?
  • (i)
    6
    u
    2
     
    v
    2
     
    w
    2
     
  • (ii)
    (
    7
    u
    3
     
    v
    3
     
    w
    3
     
    u
    v
    3
     
    w
    u
    v
    3
     
    )
  • (iii)
    (
    5
    u
    3
     
    v
    2
     
    w
    8
    u
    3
     
    v
    w
    3
     
    +
    3
    u
    2
     
    w
    3
     
    2
    u
    v
    3
     
    w
    )
  • (iv)
    (
    3
    u
    3
     
    v
    w
    3
     
    9
    u
    3
     
    w
    +
    u
    v
    3
     
    w
    2
     
    +
    3
    v
    2
     
    w
    2
     
    )
  • (v)
    (
    5
    u
    3
     
    v
    2
     
    w
    +
    2
    u
    v
    )
Question 28
28.
Which of the following algebraic expressions is a trinomial?
  • (i)
    (
    3
    h
    3
     
    i
    3
     
    j
    +
    h
    3
     
    i
    j
    2
     
    h
    2
     
    j
    2
     
    )
  • (ii)
    (
    4
    h
    3
     
    i
    2
     
    j
    2
     
    7
    h
    2
     
    i
    3
     
    j
    3
     
    +
    4
    h
    2
     
    i
    3
     
    j
    2
     
    +
    7
    h
    i
    j
    )
  • (iii)
    8
    h
    3
     
    i
    j
    2
     
  • (iv)
    (
    8
    h
    3
     
    i
    3
     
    j
    2
     
    +
    9
    h
    3
     
    j
    6
    h
    i
    2
     
    j
    +
    i
    2
     
    j
    2
     
    )
  • (v)
    (
    8
    h
    3
     
    i
    j
    2
     
    8
    h
    i
    3
     
    j
    2
     
    )
Question 29
29.
Which of the following algebraic expressions is a constant polynomial?
  • (i)
    (
    9
    l
    3
     
    m
    2
     
    n
    3
     
    2
    m
    2
     
    n
    3
     
    )
  • (ii)
    (
    3
    l
    2
     
    m
    2
     
    +
    3
    l
    2
     
    n
    3
     
    +
    5
    l
    m
    n
    2
     
    )
  • (iii)
    2
  • (iv)
    (
    8
    l
    3
     
    n
    3
     
    9
    l
    m
    n
    3
    l
    m
    2
    m
    3
     
    n
    2
     
    )
  • (v)
    5
    l
    3
     
    m
    3
     
    n
    3
     
Question 30
30.
Which of the following algebraic expressions is a zero polynomial?
  • (i)
    0
  • (ii)
    7
    d
    3
     
    e
    f
    3
     
  • (iii)
    (
    3
    d
    3
     
    e
    3
     
    +
    2
    d
    3
     
    f
    3
     
    +
    2
    d
    2
     
    e
    3
     
    f
    2
     
    )
  • (iv)
    (
    4
    d
    e
    3
     
    f
    3
     
    d
    f
    5
    e
    2
     
    f
    3
     
    5
    e
    f
    2
     
    )
  • (v)
    (
    6
    d
    3
     
    e
    2
     
    f
    2
     
    +
    d
    e
    3
     
    f
    )
Question 31
31.
Which of the following are polynomials?
a)
    • x
      2
       
      +
      1

      x
      2
       
b)
    • x
      2
       
c)
    • x
      +
      1

      x
d)
    • (
      x
      +
      y
      )

      (
      x
      y
      )
e)
    • (
      x
      +
      y
      )
  • (i)
    {d,a,b}
  • (ii)
    {c,e}
  • (iii)
    {a,b}
  • (iv)
    {c,e,b}
  • (v)
    {b,e}
Question 32
32.
Which of the following are not polynomials?
a)
    • (
      11
      x
      2
       
      34
      x
      y
      40
      y
      2
       
      )
b)
    • x
      +
      1

      x
c)
    • 100
      x
      2
       
d)
    • (
      11
      x
      +
      10
      y
      )
e)
    • (
      11
      x
      +
      10
      y
      )

      (
      x
      4
      y
      )
  • (i)
    {d,a,b}
  • (ii)
    {c,e,b}
  • (iii)
    {b,e}
  • (iv)
    {c,e}
  • (v)
    {a,b}
Question 33
33.
Which of the following are not polynomials?
a)
    • 64
      x
      2
       
      +
      1

      64
      x
      2
       
b)
    • √x
c)
    • 64
      x
      2
       
d)
    • (
      10
      x
      +
      5
      y
      )
e)
    • (
      4
      x
      6
      y
      )
  • (i)
    {e,c,a}
  • (ii)
    {d,b,a}
  • (iii)
    {d,b}
  • (iv)
    {a,b}
  • (v)
    {c,a}
Question 34
34.
Which of the following are not polynomials?
a)
    • (
      4
      x
      +
      7
      y
      )

      (
      2
      x
      4
      y
      )
b)
    • (
      8
      x
      2
       
      2
      x
      y
      28
      y
      2
       
      )
c)
    • 64
      x
      2
       
d)
    • √x
e)
    • (
      2
      x
      4
      y
      )
  • (i)
    {a,d}
  • (ii)
    {b,a}
  • (iii)
    {c,d,a}
  • (iv)
    {e,b,a}
  • (v)
    {c,d}
    Assignment Key

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