CBSE Board Practice

Class VI Class VII Class VIII Class IX Class X
CBSE Grade VIII - Factorisation
Question 1
1.
    • (
      36
      x
      5
       
      −
      156
      x
      4
       
      +
      141
      x
      3
       
      +
      30
      x
      2
       
      −
      69
      x
      +
      18
      		)
    • divided by
    • (
      12
      x
      3
       
      −
      4
      x
      2
       
      −
      5
      x
      +
      2
      		)
    • =
  • (
    3
    x
    2
     
    +
    12
    x
    +
    9
    		)
  • (
    3
    x
    2
     
    −
    12
    x
    −
    9
    		)
  • (
    3
    x
    2
     
    −
    12
    x
    +
    9
    		)
  • (
    3
    x
    2
     
    −
    13
    x
    +
    9
    		)
  • (
    3
    x
    2
     
    −
    11
    x
    +
    9
    		)
Question 2
2.
    • Factorize
    • (
      x
      2
       
      −
      16
      		)
      • (
        x
        +
        8
        		)
      • (
        x
        −
        2
        		)
      • (
        x
        −
        8
        		)
      • (
        x
        +
        2
        		)
      • (
        x
        −
        4
        		)
      • (
        x
        −
        4
        		)
      • (
        x
        +
        4
        		)
      • (
        x
        +
        4
        		)
      • (
        x
        +
        4
        		)
      • (
        x
        −
        4
        		)
Question 3
3.
Which of the following are polynomials?
a)
    • x
      2
       
      +
      1
      x
      2
       
b)
    • x
      2
       
c)
    • x
      +
      1
      x
d)
    • (
      x
      +
      y
      		)
e)
    • (
      x
      +
      y
      		)
      (
      x
      −
      y
      		)
  • {c,d,b}
  • {b,d}
  • {a,b}
  • {c,d}
  • {e,a,b}
Question 4
4.
Which of the following are not polynomials?
a)
    • √x
b)
    • x
      2
       
      +
      1
      x
      2
       
c)
    • (
      9
      x
      −
      3
      y
      		)
d)
    • (
      9
      x
      +
      2
      y
      		)
e)
    • x
      2
       
  • {e,c,a}
  • {d,b}
  • {d,b,a}
  • {c,a}
  • {a,b}
Question 5
5.
    • The remainder when
    • s
    • is divided by
    • (
      −
      1
      		)
    • is
  • 2
  • (
    −
    1
    		)
  • 1
  • 0
  • (
    −
    2
    		)
Question 6
6.
    • Factorize
    • (
      x
      2
       
      +
      2
      x
      a
      +
      5
      x
      +
      a
      2
       
      +
      5
      a
      −
      14
      		)
      • (
        x
        −
        a
        +
        7
        		)
      • (
        x
        +
        a
        +
        2
        		)
      • (
        x
        −
        a
        −
        2
        		)
      • (
        x
        +
        a
        −
        7
        		)
      • (
        x
        +
        a
        +
        7
        		)
      • (
        x
        −
        a
        −
        2
        		)
      • (
        x
        +
        a
        +
        7
        		)
      • (
        x
        +
        a
        −
        2
        		)
      • (
        x
        +
        a
        −
        2
        		)
      • (
        x
        −
        a
        +
        7
        		)
Question 7
7.
    • The quotient when
    • (
      9
      u
      3
       
      −
      8
      u
      2
       
      +
      7
      		)
    • is divided by
    • (
      u
      2
       
      −
      6
      u
      −
      27
      		)
    • is
  • (
    6
    u
    +
    46
    		)
  • (
    8
    u
    +
    46
    		)
  • (
    9
    u
    +
    46
    		)
  • (
    10
    u
    +
    46
    		)
  • (
    11
    u
    +
    46
    		)
Question 8
8.
    • The quotient when
    • (
      4
      m
      4
       
      −
      7
      m
      3
       
      +
      8
      m
      2
       
      −
      3
      m
      +
      3
      		)
    • is divided by
    • (
      m
      2
       
      +
      4
      m
      −
      21
      		)
    • is
  • (
    6
    m
    2
     
    −
    23
    m
    +
    184
    		)
  • (
    3
    m
    2
     
    −
    23
    m
    +
    184
    		)
  • (
    2
    m
    2
     
    −
    23
    m
    +
    184
    		)
  • (
    4
    m
    2
     
    −
    23
    m
    +
    184
    		)
  • (
    5
    m
    2
     
    −
    23
    m
    +
    184
    		)
Question 9
9.
    • The quotient of
    • (
      a
      2
       
      +
      2
      a
      b
      +
      8
      a
      c
      +
      b
      2
       
      +
      8
      b
      c
      +
      16
      c
      2
       
      		)
    • ÷
    • (
      a
      +
      b
      +
      4
      c
      		)
    • is
  • (
    a
    +
    3
    b
    +
    4
    c
    		)
  • (
    a
    −
    b
    +
    4
    c
    		)
  • (
    b
    +
    4
    c
    		)
  • (
    2
    a
    +
    b
    +
    4
    c
    		)
  • (
    a
    +
    b
    +
    4
    c
    		)
Question 10
10.
Which of the following are not polynomials?
a)
    • (
      2
      x
      +
      9
      y
      		)
b)
    • (
      12
      x
      2
       
      +
      34
      x
      y
      −
      90
      y
      2
       
      		)
c)
    • x
      2
       
d)
    • x
      +
      1
      x
e)
    • (
      2
      x
      +
      9
      y
      		)
      (
      6
      x
      −
      10
      y
      		)
  • {c,a,d}
  • {d,e}
  • {a,d}
  • {b,e,d}
  • {b,e}