CBSE Board Practice

Class VI Class VII Class VIII Class IX Class X
CBSE Grade VIII - Factorisation
Question 1
1.
Which of the following are not polynomials?
a)
    • (
      2
      x
      −
      3
      y
      		)
b)
    • (
      11
      x
      +
      12
      y
      		)
      (
      2
      x
      −
      3
      y
      		)
c)
    • √x
d)
    • 36
      x
      2
       
e)
    • (
      22
      x
      2
       
      −
      9
      x
      y
      −
      36
      y
      2
       
      		)
  • {d,c,b}
  • {d,c}
  • {e,a,b}
  • {a,b}
  • {b,c}
Question 2
2.
Which of the following are not polynomials?
a)
    • (
      x
      +
      4
      y
      		)
      (
      4
      x
      −
      y
      		)
b)
    • (
      4
      x
      2
       
      +
      15
      x
      y
      −
      4
      y
      2
       
      		)
c)
    • x
      +
      1
      x
d)
    • 49
      x
      2
       
e)
    • (
      x
      +
      4
      y
      		)
  • {b,a}
  • {e,b,a}
  • {a,c}
  • {d,c,a}
  • {d,c}
Question 3
3.
    • 6
      		✕
      n
      		✕
      n
      		✕
      o
      		✕
      o
    • =
  • 6
    n
    o
    2
  • 9
    n
    2
    o
    2
  • 6
    n
    2
    o
    2
  • 4
    n
    2
    o
    2
  • 6
    n
    3
    o
    2
Question 4
4.
Which of the following are polynomials?
a)
    • (
      x
      +
      y
      		)
b)
    • x
      +
      1
      x
c)
    • x
      2
       
      +
      1
      x
      2
       
d)
    • x
      2
       
e)
    • (
      x
      +
      y
      		)
      (
      x
      −
      y
      		)
  • {c,d,a}
  • {c,d}
  • {a,d}
  • {b,a}
  • {e,b,a}
Question 5
5.
    • The quotient of
    • (
      −
      27
      a
      3
       
      −
      27
      b
      3
       
      		)
    • ÷
    • (
      −
      3
      a
      −
      3
      b
      		)
    • is
  • (
    9
    a
    2
     
    −
    7
    a
    b
    +
    9
    b
    2
     
    		)
  • (
    9
    a
    2
     
    −
    9
    a
    b
    +
    9
    b
    2
     
    		)
  • (
    10
    a
    2
     
    −
    9
    a
    b
    +
    9
    b
    2
     
    		)
  • (
    8
    a
    2
     
    −
    9
    a
    b
    +
    9
    b
    2
     
    		)
  • (
    9
    a
    2
     
    −
    12
    a
    b
    +
    9
    b
    2
     
    		)
Question 6
6.
    • The remainder when
    • (
      −
      8
      n
      −
      1
      		)
    • is divided by
    • (
      n
      +
      2
      		)
    • is
  • 18
  • 15
  • 12
  • 16
  • 14
Question 7
7.
    • Factorize
    •  
    • (
      45
      a
      2
       
      b
      +
      40
      a
      b
      2
       
      		)
      • 5
        a
        b
      • (
        9
        a
        +
        8
        b
        		)
      • 5
        b
      • (
        9
        a
        −
        8
        b
        		)
      • 5
        a
      • (
        9
        a
        +
        8
        b
        		)
      • 5
        a
        b
      • (
        9
        a
        −
        8
        b
        		)
      • 5
        a
        b
      • (
        −
        9
        a
        −
        8
        b
        		)
Question 8
8.
    • Factorize
    •  
    • (
      18
      x
      y
      +
      27
      y
      2
       
      		)
      • 9
        y
      • (
        2
        x
        +
        3
        y
        		)
      • 9
        x
      • (
        2
        x
        −
        3
        y
        		)
      • 9
        y
      • (
        −
        2
        x
        −
        3
        y
        		)
      • 9
        x
      • (
        2
        x
        +
        3
        y
        		)
      • 9
        y
      • (
        2
        x
        −
        3
        y
        		)
Question 9
9.
    • The quotient when
    • (
      9
      r
      2
       
      +
      9
      r
      		)
    • is divided by
    • (
      r
      +
      1
      		)
    • is
  • 10
    r
  • 7
    r
  • 11
    r
  • 8
    r
  • 9
    r
Question 10
10.
    • The remainder when
    • 5
      v
      2
       
    • is divided by
    • (
      v
      −
      2
      		)
    • is
  • 21
  • 20
  • 18
  • 19
  • 23