EduSahara™ Assignment
Name : Factorisation Miscellaneous
Chapter : Factorisation
Grade : CBSE Grade VIII
License : Non Commercial Use
Question 1
1.
Which of the following are true?
a)
Degree of zero polynomial is zero
b)
Every polynomial is a binomial
c)
A binomial may have degree 3
d)
    • π
    • r
      2
    • is a monomial
e)
A binomial has two and only two terms
  • (i)
    {b,d}
  • (ii)
    {a,b,e}
  • (iii)
    {a,c}
  • (iv)
    {a,c,d}
  • (v)
    {c,d,e}
Question 2
2.
Which of the following are polynomials?
a)
    • x
      2
       
b)
    • x
      2
       
      +
      1

      x
      2
       
c)
    • (
      x
      +
      y
      )

      (
      x
      y
      )
d)
    • x
      +
      1

      x
e)
    • (
      x
      +
      y
      )
  • (i)
    {c,e}
  • (ii)
    {a,e}
  • (iii)
    {b,a}
  • (iv)
    {c,e,a}
  • (v)
    {d,b,a}
Question 3
3.
Which of the following are not polynomials?
a)
    • (
      11
      x
      +
      9
      y
      )

      (
      5
      x
      9
      y
      )
b)
    • 9
      x
      2
       
c)
    • (
      11
      x
      +
      9
      y
      )
d)
    • (
      55
      x
      2
       
      54
      x
      y
      81
      y
      2
       
      )
e)
    • x
      +
      1

      x
  • (i)
    {c,e}
  • (ii)
    {c,e,a}
  • (iii)
    {a,e}
  • (iv)
    {b,a}
  • (v)
    {d,b,a}
Question 4
4.
Which of the following are not polynomials?
a)
    • (
      2
      x
      9
      y
      )
b)
    • (
      10
      x
      +
      2
      y
      )
c)
    • √x
d)
    • 36
      x
      2
       
e)
    • 36
      x
      2
       
      +
      1

      36
      x
      2
       
  • (i)
    {d,a,c}
  • (ii)
    {a,c}
  • (iii)
    {b,e,c}
  • (iv)
    {b,e}
  • (v)
    {c,e}
Question 5
5.
Which of the following are not polynomials?
a)
    • (
      108
      x
      2
       
      +
      45
      x
      y
      18
      y
      2
       
      )
b)
    • 25
      x
      2
       
c)
    • (
      9
      x
      +
      6
      y
      )

      (
      12
      x
      3
      y
      )
d)
    • √x
e)
    • (
      12
      x
      3
      y
      )
  • (i)
    {a,c}
  • (ii)
    {c,d}
  • (iii)
    {e,a,c}
  • (iv)
    {b,d,c}
  • (v)
    {b,d}
Question 6
6.
    • Which of the following is a factor of
    • 30
      x
      2
       
      y
      4
       
      z
      4
       
    • ?
  • (i)
    2
    y
    4
     
    z
    5
     
  • (ii)
    2
    y
    4
     
    z
  • (iii)
    2
    y
    5
     
    z
  • (iv)
    x
    3
     
    y
    4
     
    z
  • (v)
    2
    x
    2
     
    y
    4
     
    z
    5
     
Question 7
7.
    • Which of the following is not a factor of
    • 49
      x
      2
       
      y
      4
       
      z
      5
       
    • ?
  • (i)
    7
    x
    2
     
    y
    4
     
    z
    4
     
  • (ii)
    7
    x
    y
    4
     
    z
    5
     
  • (iii)
    7
    x
    3
     
    y
    5
     
    z
    6
     
  • (iv)
    7
    y
    3
     
    z
    5
     
  • (v)
    7
    x
    2
     
    y
    3
     
    z
    5
     
Question 8
8.
    • Which of the following is a factor of
    • (
      11
      x
      +
      y
      3
       
      z
      4
       
      )
    • ?
  • (i)
    11
    y
  • (ii)
    11
    x
    z
    4
     
  • (iii)
    11
    x
  • (iv)
    y
    3
     
    z
    4
     
  • (v)
    no factors
Question 9
9.
    • Which of the following is an irreducible factor of
    • 20
      x
      5
       
      y
      3
       
      z
      5
       
    • ?
  • (i)
    x
    2
     
    y
    3
     
    z
    5
     
  • (ii)
    y
    3
     
    z
  • (iii)
    x
    2
     
    y
  • (iv)
    x
    z
    5
     
  • (v)
    x
Question 10
10.
    • Which of the following is not an irreducible factor of
    • (
      x
      2
       
      y
      +
      x
      y
      2
       
      +
      x
      y
      )
    • ?
  • (i)
    (
    x
    +
    y
    +
    1
    )
  • (ii)
    x
    y
  • (iii)
    x
  • (iv)
    y
Question 11
11.
    • b
      4
    • =
  • (i)
    b
    b
    b
    b
  • (ii)
    b
    b
    b
    b
    b
  • (iii)
    4
    b
    b
    b
    b
  • (iv)
    b
    b
    b
  • (v)
    -2
    b
    b
    b
    b
Question 12
12.
    • 16
      k
      2
      l
      2
    • =
  • (i)
    19
    k
    k
    l
    l
  • (ii)
    16
    k
    k
    l
    l
  • (iii)
    13
    k
    k
    l
    l
  • (iv)
    16
    k
    l
    l
  • (v)
    16
    k
    k
    k
    l
    l
Question 13
13.
    • k
      2
      l
      3
      m
      4
    • =
  • (i)
    k
    k
    k
    l
    l
    l
    m
    m
    m
    m
  • (ii)
    k
    k
    l
    l
    l
    m
    m
    m
    m
  • (iii)
    3
    k
    k
    l
    l
    l
    m
    m
    m
    m
  • (iv)
    k
    l
    l
    l
    m
    m
    m
    m
  • (v)
    k
    k
    l
    l
    l
    m
    m
    m
    m
Question 14
14.
    • b
      b
      b
      b
    • =
  • (i)
    b
    3
  • (ii)
    2
    b
    4
  • (iii)
    b
    4
  • (iv)
    b
    5
  • (v)
    4
    b
    4
Question 15
15.
    • p
      p
      p
      q
      q
      q
    • =
  • (i)
    p
    2
    q
    3
  • (ii)
    p
    4
    q
    3
  • (iii)
    p
    3
    q
    3
  • (iv)
    4
    p
    3
    q
    3
  • (v)
    p
    3
    q
    3
Question 16
16.
    • d
      d
      e
      e
      e
      e
      f
      f
    • =
  • (i)
    3
    d
    2
    e
    4
    f
    2
  • (ii)
    d
    e
    4
    f
    2
  • (iii)
    d
    3
    e
    4
    f
    2
  • (iv)
    2
    d
    2
    e
    4
    f
    2
  • (v)
    d
    2
    e
    4
    f
    2
    Assignment Key

  •  1) (v)
  •  2) (ii)
  •  3) (iii)
  •  4) (v)
  •  5) (ii)
  •  6) (ii)
  •  7) (iii)
  •  8) (v)
  •  9) (v)
  •  10) (ii)
  •  11) (i)
  •  12) (ii)
  •  13) (v)
  •  14) (iii)
  •  15) (iii)
  •  16) (v)