EduSahara™ Assignment
Name : H.C.F and L.C.M of Polynomials
Chapter : Simplification of Algebraic Fractions
Grade : ICSE Grade VIII
License : Non Commercial Use
Question 1
1.
    • Find the H.C.F. of
    • 20
      x
      3
       
    • and
    • 28
      x
      3
       
  • (i)
    4
    x
    5
     
  • (ii)
    4
    x
    3
     
  • (iii)
    4
    x
    4
     
  • (iv)
    140
    x
    3
     
  • (v)
    4
    x
    6
     
Question 2
2.
    • Find the H.C.F. of
    • 12
      x
      2
       
      y
      3
       
    • and
    • 76
      x
      2
       
      y
      2
       
  • (i)
    4
    x
    3
     
    y
    2
     
  • (ii)
    4
    x
    5
     
    y
    2
     
  • (iii)
    4
    x
    2
     
    y
    4
     
  • (iv)
    4
    x
    2
     
    y
    2
     
  • (v)
    228
    x
    2
     
    y
    3
     
Question 3
3.
    • Find the H.C.F. of
    • 26
      x
      3
       
      y
      2
       
      z
      2
       
    • and
    • 4
      x
      y
      2
       
      z
  • (i)
    2
    x
    2
     
    y
    2
     
    z
  • (ii)
    2
    x
    y
    2
     
    z
  • (iii)
    2
    x
    y
    4
     
    z
  • (iv)
    2
    x
    y
    2
     
    z
    3
     
  • (v)
    52
    x
    3
     
    y
    2
     
    z
    2
     
Question 4
4.
    • Find the L.C.M. of
    • 12
      x
    • and
    • 108
      x
      3
       
  • (i)
    12
    x
  • (ii)
    108
    x
    5
     
  • (iii)
    108
    x
    4
     
  • (iv)
    108
    x
    3
     
  • (v)
    1296
    x
    4
     
Question 5
5.
    • Find the L.C.M. of
    • 4
      x
      3
       
      y
    • and
    • 12
      x
      3
       
      y
      2
       
  • (i)
    12
    x
    4
     
    y
    2
     
  • (ii)
    12
    x
    3
     
    y
    4
     
  • (iii)
    12
    x
    3
     
    y
    2
     
  • (iv)
    48
    x
    6
     
    y
    3
     
  • (v)
    4
    x
    3
     
    y
Question 6
6.
    • Find the L.C.M. of
    • 10
      x
      y
      2
       
      z
    • and
    • 50
      x
      3
       
      y
      z
  • (i)
    50
    x
    3
     
    y
    4
     
    z
  • (ii)
    10
    x
    y
    z
  • (iii)
    500
    x
    4
     
    y
    3
     
    z
    2
     
  • (iv)
    50
    x
    3
     
    y
    2
     
    z
  • (v)
    50
    x
    4
     
    y
    2
     
    z
Question 7
7.
    • Find the H.C.F. of
    • (
      x
      2
       
      +
      4
      x
      −
      45
      		)
    • and
    • (
      x
      2
       
      +
      13
      x
      +
      36
      		)
  • (i)
    (
    x
    +
    4
    		)
  • (ii)
    (
    x
    +
    9
    		)
  • (iii)
    (
    x
    −
    5
    		)
  • (iv)
    (
    2
    x
    +
    9
    		)
  • (v)
    (
    2
    x
    −
    5
    		)
Question 8
8.
    • Find the L.C.M. of
    • (
      x
      2
       
      −
      5
      x
      −
      6
      		)
    • ,
    • (
      x
      2
       
      −
      2
      x
      −
      24
      		)
    • and
    • (
      x
      2
       
      +
      5
      x
      +
      4
      		)
  • (i)
      • (
        x
        −
        6
        		)
      • (
        x
        +
        4
        		)
      • (
        x
        −
        9
        		)
  • (ii)
      • (
        x
        +
        1
        		)
      • (
        x
        +
        4
        		)
      • (
        x
        −
        9
        		)
  • (iii)
      • (
        x
        +
        1
        		)
      • (
        x
        −
        6
        		)
      • (
        x
        −
        9
        		)
  • (iv)
      • (
        x
        +
        1
        		)
      • (
        x
        −
        6
        		)
      • (
        x
        −
        8
        		)
  • (v)
      • (
        x
        +
        1
        		)
      • (
        x
        −
        6
        		)
      • (
        x
        +
        4
        		)
Question 9
9.
    • Find the L.C.M. of
    • (
      16
      x
      2
       
      +
      60
      x
      y
      +
      14
      y
      2
       
      		)
    • and
    • (
      6
      x
      2
       
      +
      25
      x
      y
      +
      14
      y
      2
       
      		)
  • (i)
      • (
        8
        x
        +
        2
        y
        		)
      • (
        2
        x
        +
        7
        y
        		)
      • (
        3
        x
        +
        2
        y
        		)
  • (ii)
      • (
        8
        x
        +
        2
        y
        		)
      • (
        2
        x
        +
        7
        y
        		)
      • (
        3
        x
        +
        5
        y
        		)
  • (iii)
      • (
        8
        x
        +
        2
        y
        		)
      • (
        2
        x
        +
        7
        y
        		)
      • (
        x
        +
        y
        		)
  • (iv)
      • (
        3
        x
        +
        2
        y
        		)
      • (
        8
        x
        +
        2
        y
        		)
      • (
        3
        x
        +
        5
        y
        		)
  • (v)
      • (
        2
        x
        +
        7
        y
        		)
      • (
        3
        x
        +
        2
        y
        		)
      • (
        3
        x
        +
        5
        y
        		)
Question 10
10.
Which of the following gives the L.C.M. of two or more polynomials?
  • (i)
    ( L.C.M. of numerical coefficients ) ✕ ( Each common factor raised to the highest power )
  • (ii)
    ( Product of numerical coefficients ) ✕ ( Each common factor raised to the lowest power )
  • (iii)
    ( Product of numerical coefficients ) ✕ ( Each common factor raised to the highest power )
  • (iv)
    ( L.C.M. of numerical coefficients ) ✕ ( Each common factor raised to the lowest power )
Question 11
11.
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 highest power )
  • (ii)
    ( H.C.F. of numerical coefficients ) ✕ ( Each common factor raised to the lowest 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 )
    Assignment Key
  •  1) (ii)
  •  2) (iv)
  •  3) (ii)
  •  4) (iv)
  •  5) (iii)
  •  6) (iv)
  •  7) (ii)
  •  8) (v)
  •  9) (i)
  •  10) (i)
  •  11) (ii)