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
    • and
    • 170
      x
      2
       
  • (i)
    10
    x
    4
     
  • (ii)
    10
    x
  • (iii)
    10
    x
    3
     
  • (iv)
    10
    x
    2
     
  • (v)
    340
    x
    2
     
Question 2
2.
    • Find the H.C.F. of
    • 78
      x
      3
       
      y
      2
       
    • and
    • 42
      x
      y
  • (i)
    6
    x
    2
     
    y
  • (ii)
    546
    x
    3
     
    y
    2
     
  • (iii)
    6
    x
    4
     
    y
  • (iv)
    6
    x
    y
  • (v)
    6
    x
    y
    3
     
Question 3
3.
    • Find the H.C.F. of
    • 38
      x
      3
       
      y
      2
       
      z
      3
       
    • and
    • 6
      x
      3
       
      y
      z
  • (i)
    2
    x
    3
     
    y
    3
     
    z
  • (ii)
    114
    x
    3
     
    y
    2
     
    z
    3
     
  • (iii)
    2
    x
    4
     
    y
    z
  • (iv)
    2
    x
    3
     
    y
    z
  • (v)
    2
    x
    3
     
    y
    z
    3
     
Question 4
4.
    • Find the L.C.M. of
    • 4
      x
    • and
    • 36
      x
      3
       
  • (i)
    36
    x
    3
     
  • (ii)
    36
    x
    4
     
  • (iii)
    36
    x
    5
     
  • (iv)
    144
    x
    4
     
  • (v)
    4
    x
Question 5
5.
    • Find the L.C.M. of
    • 6
      x
      3
       
      y
    • and
    • 12
      x
      3
       
      y
      2
       
  • (i)
    12
    x
    3
     
    y
    4
     
  • (ii)
    72
    x
    6
     
    y
    3
     
  • (iii)
    6
    x
    3
     
    y
  • (iv)
    12
    x
    3
     
    y
    2
     
  • (v)
    12
    x
    4
     
    y
    2
     
Question 6
6.
    • Find the L.C.M. of
    • 2
      x
      3
       
      y
      2
       
      z
    • and
    • 16
      x
      3
       
      y
      z
  • (i)
    32
    x
    6
     
    y
    3
     
    z
    2
     
  • (ii)
    2
    x
    3
     
    y
    z
  • (iii)
    16
    x
    3
     
    y
    2
     
    z
  • (iv)
    16
    x
    4
     
    y
    2
     
    z
  • (v)
    16
    x
    3
     
    y
    4
     
    z
Question 7
7.
    • Find the H.C.F. of
    • (
      x
      2
       
      −
      14
      x
      +
      45
      		)
    • and
    • (
      x
      2
       
      −
      15
      x
      +
      54
      		)
  • (i)
    (
    2
    x
    −
    5
    		)
  • (ii)
    (
    2
    x
    −
    9
    		)
  • (iii)
    (
    x
    −
    9
    		)
  • (iv)
    (
    x
    −
    5
    		)
  • (v)
    (
    x
    −
    6
    		)
Question 8
8.
    • Find the L.C.M. of
    • (
      x
      2
       
      −
      5
      x
      +
      4
      		)
    • ,
    • (
      x
      2
       
      −
      9
      x
      +
      20
      		)
    • and
    • (
      x
      2
       
      −
      6
      x
      +
      5
      		)
  • (i)
      • (
        x
        −
        1
        		)
      • (
        x
        −
        4
        		)
      • (
        x
        +
        5
        		)
  • (ii)
      • (
        x
        −
        1
        		)
      • (
        x
        −
        4
        		)
      • x
  • (iii)
      • (
        x
        −
        1
        		)
      • (
        x
        −
        4
        		)
      • (
        x
        −
        5
        		)
  • (iv)
      • (
        x
        −
        4
        		)
      • (
        x
        −
        5
        		)
      • x
  • (v)
      • (
        x
        −
        1
        		)
      • (
        x
        −
        5
        		)
      • x
Question 9
9.
    • Find the L.C.M. of
    • (
      15
      x
      2
       
      +
      63
      x
      y
      +
      54
      y
      2
       
      		)
    • and
    • (
      30
      x
      2
       
      +
      41
      x
      y
      +
      6
      y
      2
       
      		)
  • (i)
      • (
        3
        x
        +
        9
        y
        		)
      • (
        5
        x
        +
        6
        y
        		)
      • (
        6
        x
        +
        y
        		)
  • (ii)
      • (
        3
        x
        +
        9
        y
        		)
      • (
        5
        x
        +
        6
        y
        		)
      • (
        2
        x
        +
        2
        y
        		)
  • (iii)
      • (
        6
        x
        +
        y
        		)
      • (
        3
        x
        +
        9
        y
        		)
      • (
        5
        x
        +
        2
        y
        		)
  • (iv)
      • (
        3
        x
        +
        9
        y
        		)
      • (
        5
        x
        +
        6
        y
        		)
      • (
        5
        x
        +
        2
        y
        		)
  • (v)
      • (
        5
        x
        +
        6
        y
        		)
      • (
        6
        x
        +
        y
        		)
      • (
        5
        x
        +
        2
        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)
    ( L.C.M. of numerical coefficients ) ✕ ( Each common factor raised to the lowest power )
  • (iv)
    ( Product of numerical coefficients ) ✕ ( Each common factor raised to the highest 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 lowest power )
  • (ii)
    ( Product of numerical coefficients ) ✕ ( Each common factor raised to the highest power )
  • (iii)
    ( Product of numerical coefficients ) ✕ ( Each common factor raised to the lowest power )
  • (iv)
    ( H.C.F. of numerical coefficients ) ✕ ( Each common factor raised to the highest power )
    Assignment Key
  •  1) (ii)
  •  2) (iv)
  •  3) (iv)
  •  4) (i)
  •  5) (iv)
  •  6) (iii)
  •  7) (iii)
  •  8) (iii)
  •  9) (i)
  •  10) (i)
  •  11) (i)