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)
Every polynomial is a binomial
b)
Degree of zero polynomial is zero
c)
    • π
    • r
      2
    • is a monomial
d)
A binomial has two and only two terms
e)
A binomial may have degree 3
  • (i)
    {a,b,e}
  • (ii)
    {b,d}
  • (iii)
    {a,c,d}
  • (iv)
    {c,d,e}
  • (v)
    {a,c}
Question 2
2.
Which of the following are polynomials?
a)
    • x
      2
       
      +
      1

      x
      2
       
b)
    • (
      x
      +
      y
      )
c)
    • (
      x
      +
      y
      )

      (
      x
      y
      )
d)
    • x
      2
       
e)
    • x
      +
      1

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

      (
      12
      x
      5
      y
      )
b)
    • x
      +
      1

      x
c)
    • (
      24
      x
      2
       
      +
      14
      x
      y
      10
      y
      2
       
      )
d)
    • (
      2
      x
      +
      2
      y
      )
e)
    • 4
      x
      2
       
  • (i)
    {d,b,a}
  • (ii)
    {d,b}
  • (iii)
    {e,c,a}
  • (iv)
    {a,b}
  • (v)
    {c,a}
Question 4
4.
Which of the following are not polynomials?
a)
    • √x
b)
    • 16
      x
      2
       
      +
      1

      16
      x
      2
       
c)
    • (
      9
      x
      +
      8
      y
      )
d)
    • (
      9
      x
      5
      y
      )
e)
    • 16
      x
      2
       
  • (i)
    {a,b}
  • (ii)
    {d,b}
  • (iii)
    {e,c,a}
  • (iv)
    {d,b,a}
  • (v)
    {c,a}
Question 5
5.
Which of the following are not polynomials?
a)
    • (
      63
      x
      2
       
      54
      x
      y
      9
      y
      2
       
      )
b)
    • (
      7
      x
      +
      y
      )

      (
      9
      x
      9
      y
      )
c)
    • (
      9
      x
      9
      y
      )
d)
    • √x
e)
    • x
      2
       
  • (i)
    {c,d,b}
  • (ii)
    {a,b}
  • (iii)
    {c,d}
  • (iv)
    {b,d}
  • (v)
    {e,a,b}
Question 6
6.
    • Which of the following is a factor of
    • 3
      x
      2
       
      y
      5
       
      z
      4
       
    • ?
  • (i)
    y
    2
     
    z
    5
     
  • (ii)
    x
    3
     
    y
    2
     
    z
    2
     
  • (iii)
    x
    2
     
    y
    2
     
    z
    5
     
  • (iv)
    y
    6
     
    z
    2
     
  • (v)
    y
    2
     
    z
    2
     
Question 7
7.
    • Which of the following is not a factor of
    • 39
      x
      4
       
      y
      2
       
      z
      5
       
    • ?
  • (i)
    x
    4
     
    y
    z
    5
     
  • (ii)
    x
    4
     
    y
    2
     
    z
    4
     
  • (iii)
    x
    3
     
    y
    2
     
    z
    5
     
  • (iv)
    x
    4
     
    y
    3
     
    z
    5
     
Question 8
8.
    • Which of the following is a factor of
    • (
      8
      x
      4
       
      +
      y
      5
       
      z
      3
       
      )
    • ?
  • (i)
    no factors
  • (ii)
    8
    x
    z
    2
     
  • (iii)
    8
    y
    4
     
  • (iv)
    y
    5
     
    z
    3
     
  • (v)
    8
    x
    4
     
Question 9
9.
    • Which of the following is an irreducible factor of
    • 44
      x
      5
       
      y
      5
       
      z
      3
       
    • ?
  • (i)
    x
  • (ii)
    x
    2
     
    y
    3
     
    z
    2
     
  • (iii)
    x
    z
    2
     
  • (iv)
    x
    2
     
    y
  • (v)
    y
    3
     
    z
Question 10
10.
    • Which of the following is not an irreducible factor of
    • (
      x
      2
       
      y
      +
      x
      y
      2
       
      +
      x
      y
      )
    • ?
  • (i)
    x
  • (ii)
    y
  • (iii)
    (
    x
    +
    y
    +
    1
    )
  • (iv)
    x
    y
Question 11
11.
    • a
      4
    • =
  • (i)
    a
    a
    a
    a
  • (ii)
    -2
    a
    a
    a
    a
  • (iii)
    4
    a
    a
    a
    a
  • (iv)
    a
    a
    a
    a
    a
  • (v)
    a
    a
    a
Question 12
12.
    • a
      2
      b
      4
    • =
  • (i)
    4
    a
    a
    b
    b
    b
    b
  • (ii)
    a
    b
    b
    b
    b
  • (iii)
    a
    a
    b
    b
    b
    b
  • (iv)
    -2
    a
    a
    b
    b
    b
    b
  • (v)
    a
    a
    a
    b
    b
    b
    b
Question 13
13.
    • h
      3
      i
      2
      j
      4
    • =
  • (i)
    -2
    h
    h
    h
    i
    i
    j
    j
    j
    j
  • (ii)
    h
    h
    i
    i
    j
    j
    j
    j
  • (iii)
    h
    h
    h
    h
    i
    i
    j
    j
    j
    j
  • (iv)
    3
    h
    h
    h
    i
    i
    j
    j
    j
    j
  • (v)
    h
    h
    h
    i
    i
    j
    j
    j
    j
Question 14
14.
    • a
      a
      a
      a
    • =
  • (i)
    a
    4
  • (ii)
    3
    a
    4
  • (iii)
    a
    3
  • (iv)
    2
    a
    4
  • (v)
    a
    5
Question 15
15.
    • e
      e
      e
      e
      f
      f
    • =
  • (i)
    e
    3
    f
    2
  • (ii)
    e
    5
    f
    2
  • (iii)
    e
    4
    f
    2
  • (iv)
    e
    4
    f
    2
  • (v)
    3
    e
    4
    f
    2
Question 16
16.
    • c
      c
      c
      d
      d
      d
      d
      e
      e
      e
      e
    • =
  • (i)
    c
    2
    d
    4
    e
    4
  • (ii)
    c
    3
    d
    4
    e
    4
  • (iii)
    2
    c
    3
    d
    4
    e
    4
  • (iv)
    c
    4
    d
    4
    e
    4
  • (v)
    3
    c
    3
    d
    4
    e
    4
    Assignment Key

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