CBSE Board Practice

Class VI Class VII Class VIII Class IX Class X
CBSE Grade X - Polynomials
Question 1
1.
    • Find the quadratic equation with roots
    • (
      (
      -4
      7
      		 )
      ,
      3
      5
      )
  • (
    35
    x
    2
     
    +
    9
    x
    −
    18
    		)
    =
    0
  • (
    35
    x
    2
     
    −
    x
    −
    12
    		)
    =
    0
  • (
    49
    x
    2
     
    +
    7
    x
    −
    12
    		)
    =
    0
  • (
    25
    x
    2
     
    +
    5
    x
    −
    12
    		)
    =
    0
  • (
    7
    x
    2
     
    −
    3
    x
    −
    4
    		)
    =
    0
Question 2
2.
    • The remainder when
    • (
      −
      3
      j
      4
       
      +
      j
      3
       
      −
      7
      j
      2
       
      +
      8
      j
      		)
    • is divided by
    • (
      j
      2
       
      −
      10
      j
      +
      9
      		)
    • is
  • (
    −
    2432
    j
    +
    2430
    		)
  • (
    −
    2433
    j
    +
    2430
    		)
  • (
    −
    2431
    j
    +
    2430
    		)
  • (
    −
    2429
    j
    +
    2430
    		)
  • (
    −
    2430
    j
    +
    2430
    		)
Question 3
3.
    • The product of the roots of the quadratic equation
    • (
      35
      x
      2
       
      −
      23
      x
      −
      4
      		)
      =
      0
    • is
  • (
    -6
    35
    		 )
  • (
    -4
    37
    		 )
  • (
    -4
    35
    		 )
  • (
    -2
    35
    		 )
  • (
    -4
    33
    		 )
Question 4
4.
Which of the following are not polynomials?
a)
    • (
      63
      x
      2
       
      −
      17
      x
      y
      −
      20
      y
      2
       
      		)
b)
    • 4
      x
      2
       
c)
    • x
      +
      1
      x
d)
    • (
      9
      x
      +
      4
      y
      		)
      (
      7
      x
      −
      5
      y
      		)
e)
    • (
      9
      x
      +
      4
      y
      		)
  • {c,d}
  • {a,c}
  • {e,a,c}
  • {b,d,c}
  • {b,d}
Question 5
5.
    • Find the roots of the quadratic equation
    • (
      6
      x
      2
       
      +
      5
      		)
      =
      0
  • (
    1
    ,
    0
    )
  • (
    3
    ,
    0
    )
  • no real roots
  • (
    1
    ,
    1
    )
Question 6
6.
    • Find the roots of the quadratic equation
    • (
      56
      x
      2
       
      +
      61
      x
      +
      15
      		)
      =
      0
  • (
    (
    -1
    8
    		 )
    ,
    -1
    )
  • (
    (
    -3
    10
    		 )
    ,
    (
    -5
    7
    		 )
    )
  • (
    (
    -3
    8
    		 )
    ,
    (
    -5
    7
    		 )
    )
  • (
    (
    -3
    10
    		 )
    ,
    -1
    )
Question 7
7.
Which of the following algebraic expressions is a constant polynomial?
  • (
    −
    2
    		)
  • (
    3
    m
    2
     
    +
    m
    −
    7
    		)
  • (
    9
    m
    3
     
    +
    7
    m
    2
     
    +
    5
    m
    −
    6
    		)
  • (
    −
    6
    m
    +
    9
    		)
  • (
    −
    7
    m
    4
     
    +
    9
    m
    3
     
    −
    m
    2
     
    +
    m
    −
    7
    		)
Question 8
8.
    • (
      10
      x
      3
       
      +
      25
      x
      2
       
      		)
    • ÷
    • 5
      x
  • (
    2
    x
    2
     
    +
    6
    x
    		)
  • (
    −
    2
    x
    2
     
    +
    5
    x
    		)
  • (
    2
    x
    2
     
    −
    5
    x
    		)
  • (
    2
    x
    2
     
    +
    5
    x
    		)
  • (
    x
    2
     
    +
    5
    x
    		)
Question 9
9.
    • From the graph, find the approximate values of '
    • x
    • ' for which
    • y
    • =
    • 9
      • 2.12
      • ,
      • -2.12
      • 2.62
      • ,
      • -2.62
      • 3.12
      • ,
      • -3.12
      • 1.12
      • ,
      • -1.12
      • 1.62
      • ,
      • -1.62
Question 10
10.
    • From the following graph of
    • y = p(x)
    • , find the roots of
    • p(x)
  • 1, -3, 4 and 5
  • 1, 2, 4 and -4
  • 1, 2, -8 and 5
  • 0, 2, 4 and 5
  • 1, 2, 4 and 5