EduSahara™ Assignment
Name : Factorisation Miscellaneous
Chapter : Factorisation
Grade : SSC Grade VIII
License : Non Commercial Use
Question 1
1.
    • Find the prime factorization of
    • 36
  • (i)
    2 -1
     
    		✕
    3 2
     
  • (ii)
    2 2
     
    		✕
    3 3
     
  • (iii)
    5 2
     
    		✕
    3 2
     
  • (iv)
    2 2
     
    		✕
    3 2
     
  • (v)
    2
    		✕
    3 2
     
Question 2
2.
    • Find the prime factorization of
    • 64
  • (i)
    2 5
     
  • (ii)
    2 6
     
  • (iii)
    (-1) 6
     
  • (iv)
    4 6
     
  • (v)
    2 7
     
Question 3
3.
    • Which of the following is a factor of
    • 38
      x
      y
      3
       
      z
      4
       
    • ?
  • (i)
    x
    2
     
    y
    3
     
  • (ii)
    38
    y
    4
     
  • (iii)
    38
    y
    3
     
    z
    5
     
  • (iv)
    38
    y
    3
     
  • (v)
    38
    x
    y
    3
     
    z
    5
     
Question 4
4.
    • Which of the following is not a factor of
    • 8
      x
      5
       
      y
      3
       
      z
      3
       
    • ?
  • (i)
    x
    4
     
    y
    3
     
    z
    3
     
  • (ii)
    x
    5
     
    y
    3
     
  • (iii)
    x
    5
     
    y
    4
     
    z
    4
     
  • (iv)
    x
    5
     
    y
    2
     
    z
    3
     
  • (v)
    x
    5
     
    y
    3
     
    z
    2
     
Question 5
5.
    • Which of the following is a factor of
    • (
      2
      x
      +
      y
      3
       
      z
      4
       
      		)
    • ?
  • (i)
    2
    x
    z
  • (ii)
    no factors
  • (iii)
    y
    3
     
    z
    4
     
  • (iv)
    2
    x
  • (v)
    2
    y
Question 6
6.
    • Which of the following is an irreducible factor of
    • 27
      x
      3
       
      y
      z
      4
       
    • ?
  • (i)
    x
    3
     
    y
    2
     
    z
    4
     
  • (ii)
    x
    3
     
    y
  • (iii)
    y
  • (iv)
    y
    2
     
    z
  • (v)
    x
    z
    4
     
Question 7
7.
    • Which of the following is not an irreducible factor of
    • (
      x
      2
       
      y
      +
      x
      y
      2
       
      +
      x
      y
      		)
    • ?
  • (i)
    (
    x
    +
    y
    +
    1
    		)
  • (ii)
    y
  • (iii)
    x
  • (iv)
    x
    y
Question 8
8.
    • Which of the following are true ?
a)
If p(a) = 0, then (x + a) perfectly divides p(x)
b)
If p(x) is divided by (x - a), the remainder is p(a)
c)
Division of a polynomial with another polynomial stops when the degree of the remainder equals the degree of the divisor
d)
If the degree of p(x) is less then the degree of d(x), we should not divide p(x) with d(x)
  • (i)
    {c,d}
  • (ii)
    {a,b}
  • (iii)
    {a,d,b}
  • (iv)
    {b,d}
  • (v)
    {a,c,b}
Question 9
9.
    • In which of the cases,
    •  
    • g
      (
      x
      )
    •  
    • is a factor of
    •  
    • f
      (
      x
      )
    • ?
  • (i)
    f
    (
    x
    )
    =
    (
    −
    3
    x
    3
     
    −
    17
    x
    2
     
    +
    98
    x
    +
    72
    		)
    ,
    g
    (
    x
    )
    =
    (
    −
    3
    x
    +
    2
    		)
  • (ii)
    f
    (
    x
    )
    =
    (
    −
    6
    x
    3
     
    +
    37
    x
    2
     
    −
    58
    x
    +
    24
    		)
    ,
    g
    (
    x
    )
    =
    (
    −
    2
    x
    +
    3
    		)
  • (iii)
    f
    (
    x
    )
    =
    (
    18
    x
    3
     
    −
    27
    x
    2
     
    −
    8
    x
    +
    12
    		)
    ,
    g
    (
    x
    )
    =
    (
    x
    +
    9
    		)
  • (iv)
    f
    (
    x
    )
    =
    (
    −
    3
    x
    3
     
    −
    20
    x
    2
     
    +
    69
    x
    +
    54
    		)
    ,
    g
    (
    x
    )
    =
    (
    −
    x
    +
    4
    		)
  • (v)
    f
    (
    x
    )
    =
    (
    −
    9
    x
    3
     
    −
    81
    x
    2
     
    +
    4
    x
    +
    36
    		)
    ,
    g
    (
    x
    )
    =
    (
    −
    x
    +
    3
    		)
Question 10
10.
    • (
      10
      x
      4
       
      +
      10
      x
      3
       
      		)
    • ÷
    • 2
      x
      2
       
  • (i)
    (
    5
    x
    2
     
    −
    5
    x
    		)
  • (ii)
    (
    5
    x
    2
     
    +
    6
    x
    		)
  • (iii)
    (
    4
    x
    2
     
    +
    5
    x
    		)
  • (iv)
    (
    5
    x
    2
     
    +
    5
    x
    		)
  • (v)
    (
    −
    5
    x
    2
     
    +
    5
    x
    		)
Question 11
11.
    • (
      8
      x
      4
       
      +
      18
      x
      3
       
      +
      10
      x
      2
       
      		)
    • ÷
    • (
      2
      x
      2
       
      +
      2
      x
      		)
  • (i)
    (
    −
    4
    x
    2
     
    +
    5
    x
    		)
  • (ii)
    (
    4
    x
    2
     
    −
    5
    x
    		)
  • (iii)
    (
    3
    x
    2
     
    +
    5
    x
    		)
  • (iv)
    (
    4
    x
    2
     
    +
    5
    x
    		)
  • (v)
    (
    4
    x
    2
     
    +
    6
    x
    		)
Question 12
12.
    • (
      10
      x
      4
       
      −
      9
      x
      3
       
      −
      184
      x
      2
       
      −
      105
      x
      		)
    • ÷
    • (
      2
      x
      2
       
      −
      3
      x
      −
      35
      		)
  • (i)
    (
    −
    5
    x
    2
     
    +
    3
    x
    		)
  • (ii)
    (
    5
    x
    2
     
    +
    4
    x
    		)
  • (iii)
    (
    5
    x
    2
     
    +
    2
    x
    		)
  • (iv)
    (
    5
    x
    2
     
    −
    3
    x
    		)
  • (v)
    (
    5
    x
    2
     
    +
    3
    x
    		)
    Assignment Key
  •  1) (iv)
  •  2) (ii)
  •  3) (iv)
  •  4) (iii)
  •  5) (ii)
  •  6) (iii)
  •  7) (iv)
  •  8) (iv)
  •  9) (ii)
  •  10) (iv)
  •  11) (iv)
  •  12) (v)