EduSahara™ Assignment
Name : H.C.F of Polynomials
Chapter : Factorisation
Grade : ICSE Grade VII
License : Non Commercial Use
Question 1
1.
    • Find the H.C.F. of
    • 24
      x
    • and
    • 40
      x
      2
       
  • (i)
    8
    x
  • (ii)
    8
    x
    4
     
  • (iii)
    120
    x
    2
     
  • (iv)
    8
    x
    3
     
  • (v)
    8
    x
    2
     
Question 2
2.
    • Find the H.C.F. of
    • 102
      x
      y
    • and
    • 42
      x
      y
  • (i)
    6
    x
    y
  • (ii)
    6
    x
    y
    3
     
  • (iii)
    6
    x
    4
     
    y
  • (iv)
    714
    x
    y
  • (v)
    6
    x
    2
     
    y
Question 3
3.
    • Find the H.C.F. of
    • 152
      x
      2
       
      y
      2
       
      z
      2
       
    • and
    • 24
      x
      y
      3
       
      z
      2
       
  • (i)
    8
    x
    y
    4
     
    z
    2
     
  • (ii)
    8
    x
    2
     
    y
    2
     
    z
    2
     
  • (iii)
    456
    x
    2
     
    y
    3
     
    z
    2
     
  • (iv)
    8
    x
    y
    2
     
    z
    4
     
  • (v)
    8
    x
    y
    2
     
    z
    2
     
Question 4
4.
    • Find the H.C.F. of
    • (
      x
      2
       
      −
      3
      x
      +
      2
      		)
    • and
    • (
      x
      2
       
      +
      2
      x
      −
      3
      		)
  • (i)
    (
    x
    −
    1
    		)
  • (ii)
    (
    2
    x
    −
    1
    		)
  • (iii)
    (
    x
    +
    3
    		)
  • (iv)
    (
    2
    x
    −
    2
    		)
  • (v)
    (
    x
    −
    2
    		)
Question 5
5.
Which of the following gives the H.C.F of two or more polynomials?
  • (i)
    ( H.C.F. of numerical coefficients ) ✕ ( Each common factor raised to the lowest power )
  • (ii)
    ( H.C.F. of numerical coefficients ) ✕ ( Each common factor raised to the highest power )
  • (iii)
    ( Product of numerical coefficients ) ✕ ( Each common factor raised to the highest power )
  • (iv)
    ( Product of numerical coefficients ) ✕ ( Each common factor raised to the lowest power )
Question 6
6.
    • Which of the following is a factor of
    • 15
      x
      3
       
      y
      3
       
      z
    • ?
  • (i)
    15
    x
    2
     
    y
    3
     
    z
  • (ii)
    15
    x
    2
     
    y
    3
     
    z
    2
     
  • (iii)
    x
    4
     
    y
    3
     
    z
  • (iv)
    15
    x
    3
     
    y
    3
     
    z
    2
     
  • (v)
    15
    x
    2
     
    y
    4
     
    z
Question 7
7.
    • Which of the following is not a factor of
    • 28
      x
      3
       
      y
      4
       
      z
      3
       
    • ?
  • (i)
    2
    x
    4
     
    y
    5
     
    z
    4
     
  • (ii)
    2
    x
    z
    3
     
  • (iii)
    2
    x
    2
     
    y
    4
     
    z
    3
     
  • (iv)
    2
    x
    3
     
    y
    4
     
    z
    2
     
  • (v)
    2
    x
    3
     
    y
    3
     
    z
    3
     
Question 8
8.
    • Which of the following is a factor of
    • (
      6
      x
      +
      y
      5
       
      z
      5
       
      		)
    • ?
  • (i)
    2
    x
    z
    4
     
  • (ii)
    y
    5
     
    z
    5
     
  • (iii)
    no factors
  • (iv)
    6
    x
  • (v)
    2
    y
    4
     
Question 9
9.
    • Which of the following is an irreducible factor of
    • 48
      x
      3
       
      y
      3
       
      z
    • ?
  • (i)
    y
    3
     
    z
  • (ii)
    x
    2
     
    y
    3
     
    z
    2
     
  • (iii)
    x
    z
    2
     
  • (iv)
    z
  • (v)
    x
    2
     
    y
Question 10
10.
    • Which of the following is not an irreducible factor of
    • (
      x
      2
       
      y
      +
      x
      y
      2
       
      +
      x
      y
      		)
    • ?
  • (i)
    x
    y
  • (ii)
    (
    x
    +
    y
    +
    1
    		)
  • (iii)
    y
  • (iv)
    x
Question 11
11.
    • Find the H.C.F. of
    • 70
      x
      3
       
    • and
    • 190
      x
      2
       
  • (i)
    10
    x
    3
     
  • (ii)
    10
    x
    5
     
  • (iii)
    10
    x
    2
     
  • (iv)
    1330
    x
    3
     
  • (v)
    10
    x
    4
     
Question 12
12.
    • Find the H.C.F. of
    • 104
      x
      y
      3
       
    • and
    • 136
      x
      3
       
      y
      2
       
  • (i)
    8
    x
    y
    2
     
  • (ii)
    8
    x
    2
     
    y
    2
     
  • (iii)
    1768
    x
    3
     
    y
    3
     
  • (iv)
    8
    x
    y
    4
     
  • (v)
    8
    x
    4
     
    y
    2
     
Question 13
13.
    • Find the H.C.F. of
    • 66
      x
      2
       
      y
      2
       
      z
      3
       
    • and
    • 78
      x
      3
       
      y
      3
       
      z
      3
       
  • (i)
    6
    x
    3
     
    y
    2
     
    z
    3
     
  • (ii)
    858
    x
    3
     
    y
    3
     
    z
    3
     
  • (iii)
    6
    x
    2
     
    y
    2
     
    z
    5
     
  • (iv)
    6
    x
    2
     
    y
    4
     
    z
    3
     
  • (v)
    6
    x
    2
     
    y
    2
     
    z
    3
     
Question 14
14.
    • Find the H.C.F. of
    • (
      x
      2
       
      +
      12
      x
      +
      32
      		)
    • and
    • (
      x
      2
       
      +
      x
      −
      56
      		)
  • (i)
    (
    x
    +
    4
    		)
  • (ii)
    (
    x
    −
    7
    		)
  • (iii)
    (
    x
    +
    8
    		)
  • (iv)
    (
    2
    x
    +
    8
    		)
  • (v)
    (
    2
    x
    +
    4
    		)
Question 15
15.
    • Which of the following is a factor of
    • 32
      x
      y
      3
       
      z
      4
       
    • ?
  • (i)
    2
    y
    4
     
    z
  • (ii)
    2
    z
  • (iii)
    2
    z
    5
     
  • (iv)
    2
    x
    z
    5
     
  • (v)
    x
    2
     
    z
Question 16
16.
    • Which of the following is not a factor of
    • 48
      x
      5
       
      y
      5
       
      z
      4
       
    • ?
  • (i)
    6
    x
    5
     
    y
    4
     
    z
    4
     
  • (ii)
    6
    y
    3
     
    z
    2
     
  • (iii)
    6
    x
    6
     
    y
    6
     
    z
    4
     
  • (iv)
    6
    x
    4
     
    y
    5
     
    z
    4
     
  • (v)
    6
    x
    5
     
    y
    5
     
    z
    3
     
Question 17
17.
    • Which of the following is a factor of
    • (
      5
      x
      +
      y
      3
       
      z
      3
       
      		)
    • ?
  • (i)
    y
    3
     
    z
    3
     
  • (ii)
    no factors
  • (iii)
    5
    y
  • (iv)
    5
    x
    z
    2
     
  • (v)
    5
    x
Question 18
18.
    • Which of the following is an irreducible factor of
    • 50
      x
      2
       
      y
      4
       
      z
      5
       
    • ?
  • (i)
    x
  • (ii)
    x
    2
     
    y
  • (iii)
    x
    2
     
    y
    2
     
    z
    4
     
  • (iv)
    x
    z
    4
     
  • (v)
    y
    2
     
    z
Question 19
19.
    • Which of the following is not an irreducible factor of
    • (
      x
      2
       
      y
      +
      x
      y
      2
       
      +
      x
      y
      		)
    • ?
  • (i)
    x
  • (ii)
    x
    y
  • (iii)
    (
    x
    +
    y
    +
    1
    		)
  • (iv)
    y
    Assignment Key
  •  1) (i)
  •  2) (i)
  •  3) (v)
  •  4) (i)
  •  5) (i)
  •  6) (i)
  •  7) (i)
  •  8) (iii)
  •  9) (iv)
  •  10) (i)
  •  11) (iii)
  •  12) (i)
  •  13) (v)
  •  14) (iii)
  •  15) (ii)
  •  16) (iii)
  •  17) (ii)
  •  18) (i)
  •  19) (ii)