EduSahara™ Assignment
Name : Polynomial Concepts
Chapter : Polynomials and Factorisation
Grade : SSC Grade IX
License : Non Commercial Use
Question 1
1.
Which of the following are polynomials?
a)
    • x
      +
      1

      x
b)
    • x
      2
       
      +
      1

      x
      2
       
c)
    • (
      x
      +
      y
      )
d)
    • x
      2
       
e)
    • (
      x
      +
      y
      )

      (
      x
      y
      )
  • (i)
    {b,d,c}
  • (ii)
    {c,d}
  • (iii)
    {e,a,c}
  • (iv)
    {a,c}
  • (v)
    {b,d}
Question 2
2.
Which of the following are not polynomials?
a)
    • (
      32
      x
      2
       
      +
      80
      x
      y
      48
      y
      2
       
      )
b)
    • 4
      x
      2
       
c)
    • (
      4
      x
      +
      12
      y
      )
d)
    • (
      4
      x
      +
      12
      y
      )

      (
      8
      x
      4
      y
      )
e)
    • x
      +
      1

      x
  • (i)
    {a,d}
  • (ii)
    {b,e}
  • (iii)
    {d,e}
  • (iv)
    {c,a,d}
  • (v)
    {b,e,d}
Question 3
3.
Which of the following are not polynomials?
a)
    • x
      2
       
b)
    • x
      2
       
      +
      1

      x
      2
       
c)
    • (
      2
      x
      10
      y
      )
d)
    • √x
e)
    • (
      12
      x
      +
      12
      y
      )
  • (i)
    {b,d}
  • (ii)
    {a,b}
  • (iii)
    {e,a,b}
  • (iv)
    {c,d,b}
  • (v)
    {c,d}
Question 4
4.
Which of the following are not polynomials?
a)
    • 4
      x
      2
       
b)
    • (
      36
      x
      2
       
      120
      x
      y
      44
      y
      2
       
      )
c)
    • (
      3
      x
      11
      y
      )
d)
    • √x
e)
    • (
      12
      x
      +
      4
      y
      )

      (
      3
      x
      11
      y
      )
  • (i)
    {c,a,d}
  • (ii)
    {a,d}
  • (iii)
    {d,e}
  • (iv)
    {b,e,d}
  • (v)
    {b,e}
Question 5
5.
Which of the following are polynomials?
a)
    • x
      +
      1

      x
b)
    • x
      2
       
      +
      1

      x
      2
       
c)
    • (
      x
      +
      y
      )

      (
      x
      y
      )
d)
    • x
      2
       
e)
    • (
      x
      +
      y
      )
  • (i)
    {b,e}
  • (ii)
    {c,a,d}
  • (iii)
    {d,e}
  • (iv)
    {b,e,d}
  • (v)
    {a,d}
Question 6
6.
Which of the following are not polynomials?
a)
    • (
      9
      x
      +
      4
      y
      )

      (
      2
      x
      10
      y
      )
b)
    • 25
      x
      2
       
c)
    • x
      +
      1

      x
d)
    • (
      18
      x
      2
       
      82
      x
      y
      40
      y
      2
       
      )
e)
    • (
      9
      x
      +
      4
      y
      )
  • (i)
    {b,a}
  • (ii)
    {a,c}
  • (iii)
    {d,c,a}
  • (iv)
    {e,b,a}
  • (v)
    {d,c}
Question 7
7.
Which of the following are not polynomials?
a)
    • 100
      x
      2
       
b)
    • (
      12
      x
      +
      5
      y
      )
c)
    • 100
      x
      2
       
      +
      1

      100
      x
      2
       
d)
    • (
      4
      x
      y
      )
e)
    • √x
  • (i)
    {a,c}
  • (ii)
    {d,a,c}
  • (iii)
    {c,e}
  • (iv)
    {b,e}
  • (v)
    {b,e,c}
Question 8
8.
Which of the following are not polynomials?
a)
    • √x
b)
    • (
      8
      x
      12
      y
      )
c)
    • 121
      x
      2
       
d)
    • (
      9
      x
      +
      6
      y
      )

      (
      8
      x
      12
      y
      )
e)
    • (
      72
      x
      2
       
      60
      x
      y
      72
      y
      2
       
      )
  • (i)
    {b,a}
  • (ii)
    {c,d}
  • (iii)
    {e,b,a}
  • (iv)
    {c,d,a}
  • (v)
    {a,d}
Question 9
9.
    • The degree of the polynomial
    • (
      2
      v
      7
      )
    • is
  • (i)
    (-1)
  • (ii)
    0
  • (iii)
    2
  • (iv)
    1
  • (v)
    3
Question 10
10.
    • The degree of the polynomial
    • (
      6
      h
      2
       
      +
      3
      h
      +
      9
      )
    • is
  • (i)
    1
  • (ii)
    2
  • (iii)
    0
  • (iv)
    5
  • (v)
    3
Question 11
11.
    • The degree of the polynomial
    • (
      5
      c
      4
       
      +
      4
      c
      3
       
      +
      5
      )
    • is
  • (i)
    3
  • (ii)
    4
  • (iii)
    2
  • (iv)
    5
  • (v)
    7
Question 12
12.
    • The degree of the polynomial
    • (
      7
      a
      5
       
      9
      a
      4
       
      +
      2
      a
      2
       
      +
      8
      a
      6
      )
    • is
  • (i)
    7
  • (ii)
    4
  • (iii)
    5
  • (iv)
    6
  • (v)
    3
Question 13
13.
    • The constant term in polynomial
    • (
      5
      a
      +
      5
      )
    • is
  • (i)
    2
  • (ii)
    8
  • (iii)
    5
  • (iv)
    4
  • (v)
    6
Question 14
14.
    • The constant term in polynomial
    • (
      8
      i
      2
       
      i
      +
      3
      )
    • is
  • (i)
    2
  • (ii)
    4
  • (iii)
    6
  • (iv)
    3
  • (v)
    0
Question 15
15.
    • The coefficient of term
    • z
      2
       
    • in polynomial
    • (
      7
      z
      3
       
      6
      z
      2
       
      +
      8
      z
      +
      5
      )
    • is
  • (i)
    -5
  • (ii)
    -4
  • (iii)
    -6
  • (iv)
    -7
  • (v)
    -8
Question 16
16.
    • The coefficient of term
    • z
    • in polynomial
    • (
      8
      z
      4
       
      7
      z
      3
       
      4
      z
      2
       
      +
      5
      z
      6
      )
    • is
  • (i)
    5
  • (ii)
    3
  • (iii)
    7
  • (iv)
    4
  • (v)
    6
Question 17
17.
Which of the following algebraic expressions is a monomial?
  • (i)
    (
    2
    a
    3
     
    3
    a
    2
     
    3
    a
    )
  • (ii)
    7
    a
  • (iii)
    (
    2
    a
    4
     
    +
    6
    a
    3
     
    a
    2
     
    +
    9
    a
    2
    )
  • (iv)
    (
    3
    a
    4
     
    7
    a
    3
     
    5
    a
    2
     
    4
    a
    3
    )
  • (v)
    (
    4
    a
    3
     
    2
    )
Question 18
18.
Which of the following algebraic expressions is a binomial?
  • (i)
    (
    2
    c
    4
     
    +
    4
    c
    3
     
    5
    )
  • (ii)
    7
    c
  • (iii)
    (
    5
    c
    4
     
    2
    c
    3
     
    6
    c
    2
     
    +
    6
    c
    +
    7
    )
  • (iv)
    (
    5
    c
    4
     
    5
    )
  • (v)
    (
    9
    c
    4
     
    +
    6
    c
    3
     
    8
    c
    2
     
    +
    7
    c
    6
    )
Question 19
19.
Which of the following algebraic expressions is a trinomial?
  • (i)
    (
    8
    s
    )
  • (ii)
    (
    3
    s
    3
     
    +
    s
    2
     
    )
  • (iii)
    (
    3
    s
    3
     
    +
    3
    s
    2
     
    5
    s
    )
  • (iv)
    (
    9
    s
    4
     
    +
    3
    s
    3
     
    +
    9
    s
    2
     
    2
    s
    +
    1
    )
  • (v)
    (
    8
    s
    4
     
    7
    s
    3
     
    7
    s
    2
     
    +
    7
    s
    3
    )
Question 20
20.
Which of the following algebraic expressions is a constant polynomial?
  • (i)
    (
    6
    w
    4
     
    +
    8
    w
    3
     
    1
    )
  • (ii)
    (
    3
    w
    4
     
    +
    7
    w
    )
  • (iii)
    (
    1
    )
  • (iv)
    (
    w
    4
     
    +
    9
    w
    3
     
    4
    w
    2
     
    6
    w
    7
    )
  • (v)
    (
    8
    w
    4
     
    )
Question 21
21.
Which of the following algebraic expressions is a zero polynomial?
  • (i)
    0
  • (ii)
    (
    3
    w
    3
     
    w
    2
     
    +
    4
    w
    )
  • (iii)
    (
    2
    w
    4
     
    +
    9
    w
    3
     
    +
    3
    w
    2
     
    2
    w
    +
    6
    )
  • (iv)
    (
    9
    w
    4
     
    )
  • (v)
    (
    2
    w
    4
     
    8
    w
    3
     
    )
Question 22
22.
Which of the following algebraic expressions is a constant polynomial?
  • (i)
    (
    5
    k
    2
     
    4
    k
    +
    5
    )
  • (ii)
    (
    3
    k
    5
     
    +
    7
    k
    4
     
    +
    4
    k
    3
     
    +
    k
    1
    )
  • (iii)
    (
    9
    k
    +
    9
    )
  • (iv)
    (
    4
    k
    3
     
    +
    5
    k
    2
     
    +
    7
    k
    6
    )
  • (v)
    6
Question 23
23.
Which of the following algebraic expressions is a linear polynomial?
  • (i)
    (
    2
    h
    3
     
    9
    h
    2
     
    h
    +
    8
    )
  • (ii)
    (
    7
    h
    3
    )
  • (iii)
    (
    9
    h
    5
     
    3
    h
    4
     
    9
    h
    2
     
    +
    h
    +
    8
    )
  • (iv)
    (
    7
    h
    2
     
    +
    2
    h
    9
    )
  • (v)
    (
    8
    )
Question 24
24.
Which of the following algebraic expressions is a quadratic polynomial?
  • (i)
    (
    8
    v
    +
    8
    )
  • (ii)
    (
    8
    v
    2
     
    +
    2
    v
    +
    1
    )
  • (iii)
    (
    2
    v
    3
     
    +
    2
    v
    2
     
    3
    v
    4
    )
  • (iv)
    5
  • (v)
    (
    3
    v
    5
     
    3
    v
    4
     
    v
    3
     
    6
    v
    2
     
    +
    4
    v
    )
Question 25
25.
Which of the following algebraic expressions is a cubic polynomial?
  • (i)
    (
    2
    x
    2
     
    5
    x
    +
    9
    )
  • (ii)
    (
    9
    x
    4
     
    x
    3
     
    5
    x
    2
     
    +
    7
    x
    +
    9
    )
  • (iii)
    (
    6
    x
    7
    )
  • (iv)
    (
    3
    x
    3
     
    8
    x
    2
     
    +
    x
    +
    7
    )
  • (v)
    1
Question 26
26.
    • The degree of polynomial
    • (
      3
      t
      u
      +
      2
      t
      3
      u
      +
      7
      )
    • is
  • (i)
    1
  • (ii)
    2
  • (iii)
    (-1)
  • (iv)
    4
  • (v)
    3
Question 27
27.
    • The degree of polynomial
    • (
      9
      j
      k
      2
       
      2
      j
      k
      11
      k
      2
       
      +
      4
      )
    • is
  • (i)
    5
  • (ii)
    3
  • (iii)
    4
  • (iv)
    2
  • (v)
    1
Question 28
28.
    • The degree of polynomial
    • (
      2
      f
      2
       
      h
      +
      6
      f
      2
       
      +
      2
      f
      g
      2
       
      h
      +
      8
      g
      2
       
      h
      2
       
      4
      g
      2
       
      h
      )
    • is
  • (i)
    5
  • (ii)
    6
  • (iii)
    2
  • (iv)
    4
  • (v)
    3
Question 29
29.
    • The degree of polynomial
    • (
      3
      s
      3
       
      t
      3
       
      u
      3
       
      2
      s
      3
       
      t
      2
       
      u
      +
      6
      s
      2
       
      t
      2
       
      u
      3
       
      9
      s
      2
       
      t
      u
      +
      4
      s
      t
      2
       
      +
      5
      s
      t
      +
      7
      t
      3
       
      u
      3
       
      )
    • is
  • (i)
    8
  • (ii)
    10
  • (iii)
    9
  • (iv)
    12
  • (v)
    6
Question 30
30.
    • The constant term in polynomial
    • (
      4
      l
      m
      +
      2
      l
      +
      9
      m
      +
      14
      )
    • is
  • (i)
    15
  • (ii)
    11
  • (iii)
    14
  • (iv)
    16
  • (v)
    13
Question 31
31.
    • The coefficient of term
    • j
    • in polynomial
    • (
      6
      j
      2
       
      +
      j
      k
      2
       
      +
      5
      j
      k
      j
      )
    • is
  • (i)
    1
  • (ii)
    -3
  • (iii)
    -1
  • (iv)
    0
  • (v)
    -2
Question 32
32.
    • The coefficient of term
    • e
      f
    • in polynomial
    • (
      6
      e
      2
       
      f
      g
      +
      6
      e
      2
       
      f
      +
      3
      e
      2
       
      +
      5
      e
      f
      +
      3
      e
      )
    • is
  • (i)
    8
  • (ii)
    5
  • (iii)
    2
  • (iv)
    6
  • (v)
    4
Question 33
33.
    • The coefficient of term
    • l
      2
       
      m
      2
       
    • in polynomial
    • (
      7
      l
      2
       
      m
      3
       
      n
      2
      l
      2
       
      m
      2
       
      +
      9
      l
      2
       
      m
      n
      7
      l
      m
      3
       
      n
      3
       
      8
      l
      m
      3
       
      +
      2
      m
      3
       
      n
      2
       
      +
      m
      )
    • is
  • (i)
    -4
  • (ii)
    -3
  • (iii)
    -2
  • (iv)
    -1
  • (v)
    1
Question 34
34.
Which of the following algebraic expressions is a monomial?
  • (i)
    9
    m
    n
    2
     
    o
  • (ii)
    (
    6
    m
    3
     
    n
    2
     
    o
    2
     
    2
    m
    n
    2
     
    o
    )
  • (iii)
    (
    2
    m
    3
     
    n
    2
     
    o
    3
     
    +
    8
    m
    2
     
    n
    3
     
    o
    3
    m
    2
     
    n
    o
    2
     
    +
    9
    m
    2
     
    o
    )
  • (iv)
    (
    m
    3
     
    n
    3
     
    +
    2
    m
    n
    3
     
    o
    +
    9
    m
    n
    2
     
    o
    3
     
    +
    m
    o
    3
     
    )
  • (v)
    (
    5
    m
    2
     
    n
    2
     
    o
    2
     
    +
    9
    n
    o
    2
     
    +
    9
    n
    )
Question 35
35.
Which of the following algebraic expressions is a binomial?
  • (i)
    (
    8
    x
    y
    3
     
    6
    z
    +
    3
    )
  • (ii)
    (
    7
    x
    3
     
    y
    2
     
    2
    x
    +
    8
    y
    2
     
    z
    2
     
    +
    6
    y
    z
    2
     
    )
  • (iii)
    (
    3
    x
    3
     
    y
    z
    3
     
    7
    x
    3
     
    y
    z
    8
    x
    2
     
    +
    6
    x
    z
    3
     
    )
  • (iv)
    5
    x
    2
     
    y
    3
     
    z
  • (v)
    (
    5
    x
    3
     
    z
    2
     
    8
    x
    y
    2
     
    )
Question 36
36.
Which of the following algebraic expressions is a trinomial?
  • (i)
    (
    2
    j
    3
     
    k
    2
    j
    k
    l
    3
     
    )
  • (ii)
    (
    3
    j
    2
     
    k
    l
    2
     
    9
    j
    2
     
    l
    3
     
    3
    k
    l
    2
     
    8
    k
    l
    )
  • (iii)
    (
    7
    j
    3
     
    k
    2
     
    +
    9
    j
    2
     
    k
    3
     
    l
    j
    2
     
    k
    3
     
    +
    3
    j
    2
     
    k
    2
     
    l
    2
     
    )
  • (iv)
    6
    j
    2
     
    k
    2
     
    l
    3
     
  • (v)
    (
    9
    j
    3
     
    l
    3
     
    +
    8
    j
    3
     
    l
    +
    6
    k
    3
     
    l
    2
     
    )
Question 37
37.
Which of the following algebraic expressions is a constant polynomial?
  • (i)
    (
    8
    r
    3
     
    r
    2
     
    s
    3
     
    +
    9
    r
    2
     
    t
    +
    6
    r
    t
    3
     
    )
  • (ii)
    (
    9
    r
    s
    3
     
    t
    )
  • (iii)
    (
    9
    r
    2
     
    s
    2
     
    t
    +
    s
    2
     
    t
    3
     
    +
    s
    2
     
    )
  • (iv)
    (
    5
    r
    3
     
    s
    7
    )
  • (v)
    7
Question 38
38.
Which of the following algebraic expressions is a zero polynomial?
  • (i)
    0
  • (ii)
    (
    7
    f
    g
    2
     
    h
    )
  • (iii)
    (
    4
    f
    3
     
    g
    2
     
    h
    +
    9
    f
    3
     
    g
    h
    2
     
    +
    8
    f
    2
     
    g
    3
     
    h
    3
     
    3
    f
    g
    2
     
    h
    )
  • (iv)
    (
    f
    3
     
    g
    h
    +
    5
    f
    2
     
    g
    h
    2
     
    9
    g
    h
    3
     
    )
  • (v)
    (
    4
    f
    g
    2
     
    h
    3
     
    +
    5
    f
    h
    )
Question 39
39.
Which of the following are true?
a)
    • π
    • r
      2
    • is a monomial
b)
A binomial may have degree 3
c)
Degree of zero polynomial is zero
d)
A binomial has two and only two terms
e)
Every polynomial is a binomial
  • (i)
    {c,a,b}
  • (ii)
    {e,b}
  • (iii)
    {c,a}
  • (iv)
    {c,e,d}
  • (v)
    {a,b,d}
    Assignment Key

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