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
    • (
      f
      1
      )
    • is
  • (i)
    2
  • (ii)
    0
  • (iii)
    1
  • (iv)
    (-2)
  • (v)
    4
Question 2
2.
    • The degree of the polynomial
    • (
      7
      v
      2
       
      +
      4
      v
      9
      )
    • is
  • (i)
    2
  • (ii)
    5
  • (iii)
    1
  • (iv)
    0
  • (v)
    3
Question 3
3.
    • The degree of the polynomial
    • (
      2
      r
      3
       
      8
      r
      2
       
      +
      7
      r
      )
    • is
  • (i)
    3
  • (ii)
    5
  • (iii)
    4
  • (iv)
    1
  • (v)
    2
Question 4
4.
    • The degree of the polynomial
    • (
      9
      j
      5
       
      +
      8
      j
      4
       
      6
      j
      3
       
      5
      j
      2
       
      +
      3
      j
      )
    • is
  • (i)
    7
  • (ii)
    3
  • (iii)
    4
  • (iv)
    6
  • (v)
    5
Question 5
5.
    • The constant term in polynomial
    • (
      5
      u
      +
      6
      )
    • is
  • (i)
    6
  • (ii)
    3
  • (iii)
    7
  • (iv)
    5
  • (v)
    9
Question 6
6.
    • The coefficient of term
    • r
    • in polynomial
    • (
      8
      r
      2
       
      +
      4
      r
      2
      )
    • is
  • (i)
    7
  • (ii)
    3
  • (iii)
    4
  • (iv)
    1
  • (v)
    5
Question 7
7.
    • The coefficient of term
    • t
      3
       
    • in polynomial
    • (
      2
      t
      3
       
      +
      8
      t
      2
       
      +
      9
      t
      9
      )
    • is
  • (i)
    -3
  • (ii)
    0
  • (iii)
    -5
  • (iv)
    -2
  • (v)
    -1
Question 8
8.
    • The coefficient of term
    • t
      3
       
    • in polynomial
    • (
      8
      t
      4
       
      +
      4
      t
      3
       
      t
      2
       
      +
      9
      t
      6
      )
    • is
  • (i)
    3
  • (ii)
    5
  • (iii)
    1
  • (iv)
    4
  • (v)
    7
Question 9
9.
Which of the following algebraic expressions is a monomial?
  • (i)
    (
    v
    4
     
    +
    7
    v
    3
     
    +
    v
    2
     
    6
    v
    +
    6
    )
  • (ii)
    2
    v
    2
     
  • (iii)
    (
    9
    v
    3
     
    +
    9
    v
    2
     
    )
  • (iv)
    (
    2
    v
    4
     
    +
    7
    v
    3
     
    5
    v
    2
     
    4
    v
    +
    5
    )
  • (v)
    (
    5
    v
    3
     
    +
    2
    v
    2
     
    6
    )
Question 10
10.
Which of the following algebraic expressions is a binomial?
  • (i)
    (
    5
    r
    4
     
    7
    r
    2
     
    +
    2
    )
  • (ii)
    (
    8
    r
    2
     
    )
  • (iii)
    (
    5
    r
    4
     
    3
    r
    3
     
    +
    4
    r
    2
     
    5
    r
    +
    7
    )
  • (iv)
    (
    9
    r
    4
     
    r
    3
     
    2
    r
    2
     
    3
    r
    +
    8
    )
  • (v)
    (
    8
    r
    4
     
    1
    )
Question 11
11.
Which of the following algebraic expressions is a trinomial?
  • (i)
    (
    5
    y
    4
     
    +
    y
    3
     
    7
    y
    2
     
    3
    y
    +
    5
    )
  • (ii)
    6
    y
  • (iii)
    (
    6
    y
    4
     
    6
    y
    3
     
    4
    y
    2
     
    3
    y
    +
    5
    )
  • (iv)
    (
    7
    y
    3
     
    +
    4
    y
    7
    )
  • (v)
    (
    4
    y
    3
     
    2
    y
    2
     
    )
Question 12
12.
Which of the following algebraic expressions is a constant polynomial?
  • (i)
    3
  • (ii)
    (
    6
    s
    4
     
    +
    8
    s
    3
     
    9
    s
    2
     
    +
    5
    s
    4
    )
  • (iii)
    (
    8
    s
    4
     
    +
    9
    s
    2
     
    )
  • (iv)
    (
    8
    s
    2
     
    +
    9
    s
    5
    )
  • (v)
    3
    s
    2
     
Question 13
13.
Which of the following algebraic expressions is a zero polynomial?
  • (i)
    7
    j
  • (ii)
    (
    8
    j
    2
     
    3
    j
    +
    9
    )
  • (iii)
    0
  • (iv)
    (
    4
    j
    4
     
    6
    j
    3
     
    +
    2
    j
    2
     
    5
    j
    1
    )
  • (v)
    (
    3
    j
    3
     
    +
    2
    j
    )
Question 14
14.
Which of the following algebraic expressions is a constant polynomial?
  • (i)
    (
    h
    4
     
    +
    3
    h
    3
     
    3
    h
    2
     
    +
    6
    h
    +
    7
    )
  • (ii)
    (
    6
    h
    4
    )
  • (iii)
    7
  • (iv)
    (
    9
    h
    2
     
    4
    h
    3
    )
  • (v)
    (
    6
    h
    3
     
    2
    h
    2
     
    5
    h
    +
    5
    )
Question 15
15.
Which of the following algebraic expressions is a linear polynomial?
  • (i)
    (
    4
    e
    5
    )
  • (ii)
    (
    5
    )
  • (iii)
    (
    7
    e
    3
     
    +
    e
    2
     
    +
    2
    e
    +
    8
    )
  • (iv)
    (
    4
    e
    2
     
    8
    e
    +
    7
    )
  • (v)
    (
    9
    e
    5
     
    7
    e
    4
     
    7
    e
    3
     
    +
    7
    e
    2
     
    2
    e
    )
Question 16
16.
Which of the following algebraic expressions is a quadratic polynomial?
  • (i)
    (
    9
    y
    3
     
    +
    2
    y
    2
     
    6
    y
    +
    9
    )
  • (ii)
    (
    y
    +
    6
    )
  • (iii)
    (
    8
    y
    2
     
    +
    2
    y
    +
    5
    )
  • (iv)
    (
    8
    )
  • (v)
    (
    2
    y
    5
     
    5
    y
    4
     
    9
    y
    3
     
    +
    3
    y
    +
    4
    )
Question 17
17.
Which of the following algebraic expressions is a cubic polynomial?
  • (i)
    (
    4
    h
    4
     
    +
    4
    h
    3
     
    4
    h
    2
     
    h
    4
    )
  • (ii)
    (
    3
    )
  • (iii)
    (
    4
    h
    7
    )
  • (iv)
    (
    4
    h
    3
     
    +
    4
    h
    2
     
    +
    9
    h
    +
    4
    )
  • (v)
    (
    4
    h
    2
     
    +
    6
    h
    +
    6
    )
Question 18
18.
    • The degree of polynomial
    • (
      4
      n
      o
      6
      n
      6
      o
      18
      )
    • is
  • (i)
    0
  • (ii)
    2
  • (iii)
    1
  • (iv)
    3
  • (v)
    4
Question 19
19.
    • The degree of polynomial
    • (
      3
      g
      2
       
      h
      2
       
      2
      g
      h
      2
       
      +
      18
      g
      h
      18
      h
      2
       
      )
    • is
  • (i)
    4
  • (ii)
    7
  • (iii)
    1
  • (iv)
    5
  • (v)
    3
Question 20
20.
    • The degree of polynomial
    • (
      3
      o
      2
       
      p
      q
      2
       
      +
      9
      o
      p
      q
      2
       
      9
      o
      q
      6
      p
      2
       
      +
      8
      q
      )
    • is
  • (i)
    4
  • (ii)
    3
  • (iii)
    6
  • (iv)
    5
  • (v)
    8
Question 21
21.
    • The degree of polynomial
    • (
      a
      3
       
      b
      c
      +
      5
      a
      3
       
      c
      3
       
      +
      6
      a
      2
       
      b
      3
       
      c
      a
      2
       
      b
      3
       
      +
      7
      a
      b
      3
       
      8
      a
      b
      6
      b
      )
    • is
  • (i)
    7
  • (ii)
    5
  • (iii)
    3
  • (iv)
    9
  • (v)
    6
Question 22
22.
    • The coefficient of term
    • r
    • in polynomial
    • (
      11
      q
      r
      +
      q
      +
      7
      r
      7
      )
    • is
  • (i)
    8
  • (ii)
    7
  • (iii)
    9
  • (iv)
    4
  • (v)
    6
Question 23
23.
    • The coefficient of term
    • s
      2
       
      t
      2
       
    • in polynomial
    • (
      8
      s
      2
       
      t
      2
       
      +
      12
      s
      2
       
      t
      +
      5
      s
      t
      2
      )
    • is
  • (i)
    9
  • (ii)
    7
  • (iii)
    8
  • (iv)
    5
  • (v)
    10
Question 24
24.
    • The coefficient of term
    • v
    • in polynomial
    • (
      t
      2
       
      u
      2
       
      7
      t
      2
       
      +
      6
      t
      u
      v
      2
       
      +
      8
      t
      u
      4
      v
      )
    • is
  • (i)
    -3
  • (ii)
    -5
  • (iii)
    -1
  • (iv)
    -7
  • (v)
    -4
Question 25
25.
    • The coefficient of term
    • x
      2
       
      y
    • in polynomial
    • (
      7
      x
      3
       
      y
      8
      x
      2
       
      y
      3
       
      z
      5
      x
      2
       
      y
      +
      5
      x
      y
      3
       
      z
      3
       
      +
      7
      y
      3
       
      z
      3
       
      8
      y
      2
       
      z
      3
       
      +
      6
      y
      2
       
      )
    • is
  • (i)
    -2
  • (ii)
    -4
  • (iii)
    -7
  • (iv)
    -5
  • (v)
    -6
Question 26
26.
Which of the following algebraic expressions is a monomial?
  • (i)
    (
    7
    a
    2
     
    c
    2
     
    +
    5
    b
    3
     
    c
    +
    3
    c
    +
    3
    )
  • (ii)
    (
    2
    a
    2
     
    b
    3
     
    8
    a
    2
     
    c
    2
     
    a
    b
    2
     
    c
    3
     
    )
  • (iii)
    (
    3
    a
    3
     
    b
    2
     
    5
    a
    3
     
    b
    c
    2
     
    )
  • (iv)
    (
    a
    3
     
    c
    2
     
    3
    a
    b
    2
     
    6
    a
    b
    +
    4
    c
    3
     
    )
  • (v)
    (
    8
    a
    2
     
    b
    c
    2
     
    )
Question 27
27.
Which of the following algebraic expressions is a binomial?
  • (i)
    (
    9
    k
    2
     
    l
    m
    2
     
    8
    k
    2
     
    m
    3
     
    6
    k
    l
    m
    3
     
    )
  • (ii)
    (
    4
    k
    3
     
    l
    2
     
    m
    2
     
    9
    k
    3
     
    m
    5
    k
    2
     
    l
    m
    6
    k
    l
    2
     
    )
  • (iii)
    (
    9
    k
    l
    3
     
    m
    2
     
    )
  • (iv)
    (
    7
    k
    3
     
    l
    3
     
    m
    3
     
    6
    k
    2
     
    l
    3
     
    +
    5
    k
    l
    m
    2
     
    k
    m
    2
     
    )
  • (v)
    (
    2
    k
    2
     
    l
    m
    2
     
    7
    l
    2
     
    m
    )
Question 28
28.
Which of the following algebraic expressions is a trinomial?
  • (i)
    (
    5
    l
    3
     
    m
    3
     
    n
    3
     
    5
    l
    3
     
    n
    7
    m
    n
    +
    n
    2
     
    )
  • (ii)
    (
    6
    l
    3
     
    m
    n
    )
  • (iii)
    (
    4
    l
    3
     
    m
    3
     
    n
    2
     
    9
    l
    3
     
    m
    3
     
    3
    l
    2
     
    m
    3
     
    n
    2
     
    +
    2
    l
    2
     
    m
    2
     
    n
    2
     
    )
  • (iv)
    (
    7
    l
    2
     
    m
    2
     
    +
    l
    m
    2
     
    n
    )
  • (v)
    (
    7
    l
    3
     
    m
    3
     
    +
    7
    l
    n
    9
    n
    )
Question 29
29.
Which of the following algebraic expressions is a constant polynomial?
  • (i)
    (
    2
    a
    b
    2
     
    c
    6
    a
    +
    9
    b
    3
     
    c
    +
    3
    )
  • (ii)
    (
    8
    )
  • (iii)
    (
    5
    a
    3
     
    b
    3
     
    c
    4
    a
    2
     
    b
    c
    2
     
    9
    c
    )
  • (iv)
    (
    a
    b
    c
    )
  • (v)
    (
    a
    2
     
    b
    c
    5
    b
    c
    )
Question 30
30.
Which of the following algebraic expressions is a zero polynomial?
  • (i)
    (
    8
    x
    y
    z
    3
     
    y
    2
     
    z
    2
     
    +
    5
    y
    z
    2
     
    6
    z
    2
     
    )
  • (ii)
    (
    5
    x
    y
    3
     
    z
    3
     
    )
  • (iii)
    (
    7
    x
    3
     
    y
    3
     
    z
    +
    5
    x
    3
     
    y
    2
     
    +
    3
    x
    2
     
    y
    3
     
    )
  • (iv)
    0
  • (v)
    (
    4
    x
    y
    2
     
    z
    2
     
    5
    y
    3
     
    z
    3
     
    )
Question 31
31.
Which of the following are polynomials?
a)
    • (
      x
      +
      y
      )

      (
      x
      y
      )
b)
    • x
      2
       
      +
      1

      x
      2
       
c)
    • x
      +
      1

      x
d)
    • (
      x
      +
      y
      )
e)
    • x
      2
       
  • (i)
    {c,a,d}
  • (ii)
    {b,e}
  • (iii)
    {b,e,d}
  • (iv)
    {a,d}
  • (v)
    {d,e}
Question 32
32.
Which of the following are not polynomials?
a)
    • (
      8
      x
      +
      12
      y
      )
b)
    • (
      8
      x
      +
      12
      y
      )

      (
      6
      x
      8
      y
      )
c)
    • 36
      x
      2
       
d)
    • x
      +
      1

      x
e)
    • (
      48
      x
      2
       
      +
      8
      x
      y
      96
      y
      2
       
      )
  • (i)
    {b,d}
  • (ii)
    {a,b}
  • (iii)
    {e,a,b}
  • (iv)
    {c,d,b}
  • (v)
    {c,d}
Question 33
33.
Which of the following are not polynomials?
a)
    • (
      4
      x
      2
      y
      )
b)
    • 121
      x
      2
       
      +
      1

      121
      x
      2
       
c)
    • 121
      x
      2
       
d)
    • √x
e)
    • (
      8
      x
      +
      12
      y
      )
  • (i)
    {c,d,b}
  • (ii)
    {e,a,b}
  • (iii)
    {c,d}
  • (iv)
    {b,d}
  • (v)
    {a,b}
Question 34
34.
Which of the following are not polynomials?
a)
    • (
      9
      x
      +
      8
      y
      )

      (
      7
      x
      10
      y
      )
b)
    • (
      7
      x
      10
      y
      )
c)
    • (
      63
      x
      2
       
      34
      x
      y
      80
      y
      2
       
      )
d)
    • 144
      x
      2
       
e)
    • √x
  • (i)
    {b,a}
  • (ii)
    {c,e}
  • (iii)
    {d,b,a}
  • (iv)
    {c,e,a}
  • (v)
    {a,e}
    Assignment Key

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