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