CBSE Board Practice

Class VI Class VII Class VIII Class IX Class X
CBSE Grade X - Polynomials
Question 1
1.
    • The quotient when
    • (
      −
      6
      q
      −
      7
      		)
    • is divided by
    • (
      q
      +
      6
      		)
    • is
  • (
    −
    5
    		)
  • (
    −
    9
    		)
  • (
    −
    7
    		)
  • (
    −
    4
    		)
  • (
    −
    6
    		)
Question 2
2.
    • (
      −
      54
      x
      4
       
      −
      45
      x
      3
       
      +
      15
      x
      2
       
      +
      20
      x
      +
      4
      		)
    • ÷
    • (
      −
      18
      x
      3
       
      −
      3
      x
      2
       
      +
      7
      x
      +
      2
      		)
    • =
  • (
    3
    x
    +
    2
    		)
  • (
    3
    x
    −
    2
    		)
  • (
    2
    x
    +
    2
    		)
  • (
    −
    3
    x
    +
    2
    		)
  • (
    4
    x
    +
    2
    		)
Question 3
3.
    • The value of the polynomial
    • (
      2
      f
      2
       
      +
      4
      f
      +
      6
      		)
    • at
    •  
    • f
    • =
    • (-2)
    • is
  • 6
  • 5
  • 9
  • 4
  • 7
Question 4
4.
    • The remainder when
    • (
      −
      3
      h
      4
       
      −
      3
      h
      3
       
      +
      7
      h
      2
       
      −
      9
      		)
    • is divided by
    • (
      h
      2
       
      −
      h
      −
      2
      		)
    • is
  • (
    −
    17
    h
    −
    19
    		)
  • (
    −
    20
    h
    −
    19
    		)
  • (
    −
    16
    h
    −
    19
    		)
  • (
    −
    15
    h
    −
    19
    		)
  • (
    −
    18
    h
    −
    19
    		)
Question 5
5.
    • If
    • α, β, γ
    • are the roots of the cubic equation
    • (
      147
      x
      3
       
      −
      532
      x
      2
       
      +
      501
      x
      −
      140
      		)
      =
      0
    • ,
    • find
    • αβγ
  • (
    −
    167
    49
    )
  • (
    −
    76
    21
    )
  • 20
    21
  • (
    −
    20
    21
    )
  • 167
    49
Question 6
6.
    • Which of the following are true for the parabola
    • y
      =
      a
      x
      2
      		  +  
      b
      x
      		  +  
      c
    • ?
a)
    • If the curve meets the X-axis at only one point ,
    • b
      2
      		  −  
      4
      a
      c
      =
      0
b)
    • If the curve does not meet the X-axis ,
    • b
      2
      		  −  
      4
      a
      c
      < 0
c)
    • If the curve does not meet the X-axis,
    • there are no real roots for
    • y
      =
      a
      x
      2
      		  +  
      b
      x
      		  +  
      c
d)
    • If the curve meets the X-axis at two places, there are two distinct non-real roots.
e)
    • If the curve meets the X-axis at only one point ,
    • b
      2
      		  −  
      4
      a
      c
      >
      0
  • {d,a,b}
  • {d,a}
  • {e,b}
  • {a,b,c}
  • {d,e,c}
Question 7
7.
    • Which of the following is a factor of
    • (
      3
      x
      4
       
      +
      y
      5
       
      z
      4
       
      		)
    • ?
  • 3
    x
    4
     
  • x
    4
     
    z
    2
     
  • y
    2
     
  • no factors
  • y
    5
     
    z
    4
     
Question 8
8.
    • Which of the following is an irreducible factor of
    • 13
      x
      3
       
      y
      5
       
      z
      4
       
    • ?
  • x
    z
    2
     
  • x
    3
     
    y
  • x
    3
     
    y
    4
     
    z
    2
     
  • y
  • y
    4
     
    z
Question 9
9.
    • If
    • α
    • =
    • 9
      2
    • ,
    • β
    • =
    • 5
      4
    • ,
    • γ
    • =
    • 1
      7
    • are the roots of the cubic equation
    •  
       
      a
      x
      3
      		  +  
       
       
      b
      x
      2
      		  +  
       
       
      c
      x
      		  +  
       
       
      d
      = 0
    • ,
    • then find
    •  
    • b
      a
  • (
    −
    45
    56
    )
  • 45
    56
  • (
    −
    165
    28
    )
  • 361
    56
  • (
    −
    361
    56
    )
Question 10
10.
    • The degree of the polynomial
    • (
      4
      p
      +
      5
      		)
    • is
  • 1
  • (-2)
  • 4
  • 2
  • 0