ICSE Board Practice

Class VI Class VII Class VIII Class IX Class X
ICSE Grade VII - Factorisation
Question 1
1.
    • Factorize
    • (
      28
      x
      2
       
      +
      x
      y
      −
      45
      y
      2
       
      		)
      • (
        7
        x
        −
        9
        y
        		)
      • (
        4
        x
        +
        5
        y
        		)
      • (
        7
        x
        +
        9
        y
        		)
      • (
        4
        x
        +
        5
        y
        		)
      • (
        7
        x
        −
        9
        y
        		)
      • (
        4
        x
        −
        5
        y
        		)
      • (
        7
        x
        +
        9
        y
        		)
      • (
        4
        x
        −
        5
        y
        		)
      • (
        7
        x
        +
        9
        y
        		)
      • (
        7
        x
        −
        9
        y
        		)
Question 2
2.
    • Factorize
    • (
      x
      2
       
      +
      2
      x
      a
      +
      x
      +
      a
      2
       
      +
      a
      −
      42
      		)
      • (
        x
        +
        a
        −
        6
        		)
      • (
        x
        −
        a
        +
        7
        		)
      • (
        x
        +
        a
        +
        7
        		)
      • (
        x
        +
        a
        −
        6
        		)
      • (
        x
        −
        a
        +
        7
        		)
      • (
        x
        +
        a
        +
        6
        		)
      • (
        x
        +
        a
        +
        7
        		)
      • (
        x
        −
        a
        −
        6
        		)
      • (
        x
        −
        a
        −
        6
        		)
      • (
        x
        +
        a
        −
        7
        		)
Question 3
3.
    • Factorize
    • (
      9
      a
      2
       
      −
      25
      b
      2
       
      		)
  • (
    −
    4
    a
    −
    5
    b
    		)
    (
    −
    4
    a
    +
    5
    b
    		)
  • (
    −
    3
    a
    −
    2
    b
    		)
    (
    −
    3
    a
    +
    8
    b
    		)
  • (
    −
    2
    a
    −
    5
    b
    		)
    (
    −
    2
    a
    +
    5
    b
    		)
  • (
    −
    3
    a
    −
    7
    b
    		)
    (
    −
    3
    a
    +
    3
    b
    		)
  • (
    −
    3
    a
    −
    5
    b
    		)
    (
    −
    3
    a
    +
    5
    b
    		)
Question 4
4.
    • Find the H.C.F. of
    • 70
      x
      2
       
    • and
    • 190
      x
      3
       
  • 1330
    x
    3
     
  • 10
    x
    4
     
  • 10
    x
    5
     
  • 10
    x
    3
     
  • 10
    x
    2
     
Question 5
5.
    • Factorize
    • (
      81
      x
      2
       
      −
      64
      		)
      • (
        9
        x
        +
        8
        		)
      • (
        9
        x
        +
        8
        		)
      • (
        9
        x
        +
        32
        		)
      • (
        9
        x
        −
        2
        		)
      • (
        9
        x
        −
        8
        		)
      • (
        9
        x
        −
        8
        		)
      • (
        9
        x
        −
        32
        		)
      • (
        9
        x
        +
        2
        		)
      • (
        9
        x
        +
        8
        		)
      • (
        9
        x
        −
        8
        		)
Question 6
6.
Which of the following are true?
a)
A binomial may have degree 3
b)
Every polynomial is a binomial
c)
A binomial has two and only two terms
d)
Degree of zero polynomial is zero
e)
    • π
    • r
      2
    • is a monomial
  • {d,c}
  • {b,d,e}
  • {a,c,e}
  • {b,a}
  • {b,a,c}
Question 7
7.
Which of the following gives the H.C.F of two or more polynomials?
  • ( 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 )
  • ( 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 )
Question 8
8.
    • Factorize
    •  
    		•
      a
      2
      		  −  
      b
      2
      		  −  
      c
      2
      		  −  
      2
      b
      c
      • (
        a
        −
        b
        −
        c
        		)
      • (
        a
        +
        b
        +
        c
        		)
      • (
        a
        −
        b
        −
        c
        		)
      • (
        a
        +
        b
        −
        c
        		)
      • (
        a
        −
        b
        −
        c
        		)
      • (
        a
        −
        b
        +
        c
        		)
      • (
        a
        +
        b
        +
        c
        		)
      • (
        a
        +
        b
        −
        c
        		)
      • (
        a
        +
        b
        +
        c
        		)
      • (
        a
        −
        b
        +
        c
        		)
Question 9
9.
    • Factorize
    •  
    • (
      20
      x
      2
       
      −
      x
      y
      −
      30
      y
      2
       
      		)
      • (
        5
        x
        −
        6
        y
        		)
      • (
        4
        x
        +
        5
        y
        		)
      • (
        5
        x
        +
        6
        y
        		)
      • (
        5
        x
        +
        6
        y
        		)
      • (
        5
        x
        +
        6
        y
        		)
      • (
        4
        x
        +
        5
        y
        		)
      • (
        5
        x
        −
        6
        y
        		)
      • (
        4
        x
        −
        5
        y
        		)
      • (
        5
        x
        +
        6
        y
        		)
      • (
        4
        x
        −
        5
        y
        		)
Question 10
10.
    • Factorize
    •  
    • (
      h
      4
       
      −
      4096
      		)
      • (
        h
        +
        8
        		)
      • (
        h
        −
        8
        		)
      • (
        h
        2
         
        +
        64
        		)
      • (
        h
        2
         
        +
        64
        		)
      • (
        h
        2
         
        −
        16
        		)
      • (
        h
        +
        8
        		)
      • (
        h
        +
        8
        		)
      • (
        h
        −
        8
        		)
      • (
        h
        +
        8
        		)
      • (
        h
        −
        8
        		)
      • (
        h
        −
        8
        		)
      • (
        h
        +
        8
        		)
      • (
        h
        −
        8
        		)
      • (
        h
        2
         
        −
        16
        		)