ICSE Board Practice

Class VI Class VII Class VIII Class IX Class X
ICSE Grade VIII - Factorization
Question 1
1.
    • Factorize
    •  
    • (
      v
      4
       
      −
      1296
      		)
      • (
        v
        +
        6
        		)
      • (
        v
        −
        6
        		)
      • (
        v
        −
        6
        		)
      • (
        v
        2
         
        +
        36
        		)
      • (
        v
        2
         
        −
        12
        		)
      • (
        v
        +
        6
        		)
      • (
        v
        −
        6
        		)
      • (
        v
        2
         
        −
        12
        		)
      • (
        v
        +
        6
        		)
      • (
        v
        +
        6
        		)
      • (
        v
        −
        6
        		)
      • (
        v
        +
        6
        		)
      • (
        v
        −
        6
        		)
      • (
        v
        2
         
        +
        36
        		)
Question 2
2.
    • Factorize
    • (
      x
      2
       
      +
      2
      x
      a
      −
      3
      x
      +
      a
      2
       
      −
      3
      a
      −
      10
      		)
      • (
        x
        −
        a
        −
        5
        		)
      • (
        x
        +
        a
        −
        2
        		)
      • (
        x
        +
        a
        −
        5
        		)
      • (
        x
        −
        a
        +
        2
        		)
      • (
        x
        −
        a
        +
        2
        		)
      • (
        x
        +
        a
        +
        5
        		)
      • (
        x
        +
        a
        +
        2
        		)
      • (
        x
        −
        a
        −
        5
        		)
      • (
        x
        +
        a
        +
        2
        		)
      • (
        x
        +
        a
        −
        5
        		)
Question 3
3.
    • Factorize
    •  
       
      (
      2
      x
      +
      8
      y
      		)
      2
      		  +  
       
       
      2
      (
      2
      x
      +
      8
      y
      		)
      (
      6
      x
      +
      4
      y
      		)
      		  +  
       
       
      (
      6
      x
      +
      4
      y
      		)
      2
  • (
    8
    x
    +
    12
    y
    		)
    2
  • (
    4
    x
    −
    3
    y
    		)
    2
  • (
    −
    4
    x
    +
    4
    y
    		)
    2
  • (
    9
    x
    +
    12
    y
    		)
    2
  • (
    2
    x
    +
    8
    y
    		)
    (
    6
    x
    +
    4
    y
    		)
Question 4
4.
    • Factorize
    •  
       
      (
      6
      x
      +
      7
      y
      		)
      2
      		  −  
       
       
      2
      (
      6
      x
      +
      7
      y
      		)
      (
      9
      x
      +
      4
      y
      		)
      		  +  
       
       
      (
      9
      x
      +
      4
      y
      		)
      2
  • (
    −
    3
    x
    +
    3
    y
    		)
    2
  • (
    4
    x
    −
    3
    y
    		)
    2
  • (
    6
    x
    +
    7
    y
    		)
    (
    9
    x
    +
    4
    y
    		)
  • (
    15
    x
    +
    11
    y
    		)
    2
  • (
    −
    2
    x
    +
    3
    y
    		)
    2
Question 5
5.
    • Factorize
    • (
      6
      x
      2
       
      +
      31
      x
      +
      35
      		)
  • (
    3
    x
    +
    5
    		)
    (
    2
    x
    +
    7
    		)
  • (
    3
    x
    +
    5
    		)
    (
    x
    +
    7
    		)
  • (
    3
    x
    +
    5
    		)
    (
    5
    x
    +
    7
    		)
  • (
    3
    x
    +
    5
    		)
    (
    −
    x
    +
    7
    		)
  • (
    3
    x
    +
    5
    		)
    (
    3
    x
    +
    7
    		)
Question 6
6.
    • Which of the following is not an irreducible factor of
    • (
      x
      2
       
      y
      +
      x
      y
      2
       
      +
      x
      y
      		)
    • ?
  • (
    x
    +
    y
    +
    1
    		)
  • y
  • x
    y
  • x
Question 7
7.
Which of the following gives the H.C.F of two or more polynomials?
  • ( Product of numerical coefficients ) ✕ ( Each common factor raised to the lowest power )
  • ( H.C.F. of numerical coefficients ) ✕ ( Each common factor raised to the highest power )
  • ( H.C.F. of numerical coefficients ) ✕ ( Each common factor raised to the lowest power )
  • ( Product of numerical coefficients ) ✕ ( Each common factor raised to the highest power )
Question 8
8.
    • Find the H.C.F. of
    • (
      x
      2
       
      −
      x
      −
      30
      		)
    • and
    • (
      x
      2
       
      +
      x
      −
      20
      		)
  • (
    x
    −
    4
    		)
  • (
    x
    +
    5
    		)
  • (
    x
    −
    6
    		)
  • (
    2
    x
    −
    6
    		)
  • (
    2
    x
    +
    5
    		)
Question 9
9.
    • Factorize
    •  
       
      9
      a
      3
      		  −  
       
       
      25
      a
      • (
        3
        a
        −
        5
        		)
      • (
        3
        a
        2
         
        +
        5
        		)
      • a
      • (
        3
        a
        +
        5
        		)
      • (
        5
        a
        −
        3
        		)
      • a
      • (
        3
        a
        2
         
        +
        5
        		)
      • (
        5
        a
        −
        3
        		)
      • a
      • (
        3
        a
        +
        5
        		)
      • (
        3
        a
        −
        5
        		)
      • a
      • (
        3
        a
        +
        5
        		)
      • (
        3
        a
        2
         
        +
        5
        		)
      • a
Question 10
10.
    • Find the value of
    • 25 3
       
    • +
    • 40 3
       
    • −
    • 65 3
       
  • (-125000)
  • 512000
  • (-195000)
  • 125000
  • (-512000)