SSC Board Practice

SSC Grade X - Polynomials
Question 1
1.
Which of the following algebraic expressions is a quadratic polynomial?
  • (
    2
    )
  • (
    6
    c
    4
    )
  • (
    7
    c
    2
     
    9
    c
    +
    8
    )
  • (
    6
    c
    3
     
    4
    c
    2
     
    +
    2
    c
    +
    5
    )
  • (
    5
    c
    5
     
    8
    c
    4
     
    c
    3
     
    5
    c
    2
     
    5
    c
    )
Question 2
2.
    • The value of the polynomial
    • (
      7
      b
      2
       
      d
      +
      9
      b
      d
      )
    • at
    •  
    • b
    • =
    • (-3)
    • ,
    • c
    • =
    • (-1)
    • ,
    • d
    • =
    • (-2)
    •  
    • is
  • 181
  • 179
  • 177
  • 183
  • 180
Question 3
3.
    • The remainder when
    • (
      9
      t
      2
       
      +
      8
      t
      +
      3
      )
    • is divided by
    • (
      t
      +
      8
      )
    • is
  • (
    637
    )
  • (
    638
    )
  • (
    636
    )
  • (
    640
    )
  • (
    635
    )
Question 4
4.
    • The value of the polynomial
    • (
      7
      t
      u
      v
      t
      v
      1
      )
    • at
    •  
    • t
    • =
    • (-1)
    • ,
    • u
    • =
    • 2
    • ,
    • v
    • =
    • 1
    •  
    • is
  • -11
  • -16
  • -14
  • -13
  • -15
Question 5
5.
    • If
    • α
    • =
    • 4

      3
    • ,
    • β
    • =
    • 6

      5
    • ,
    • γ
    • =
    • 2

      5
    • are the roots of the cubic equation
    •  
       
      a
      x
      3
        +  
       
       
      b
      x
      2
        +  
       
       
      c
      x
        +  
       
       
      d
      = 0
    • ,
    • then find
    •  
    • c

      a
  • 16

    25
  • (
    44

    15
    )
  • (
    196

    75
    )
  • 196

    75
  • (
    16

    25
    )
Question 6
6.
    • The quotient when
    • (
      7
      a
      3
      )
    • is divided by
    • (
      a
      +
      2
      )
    • is
  • 6
  • 4
  • 7
  • 8
  • 10
Question 7
7.
Which of the following equations represents the given graph ?
  • x
    =
    0
  • x
    =
    (
    y
    2
     
    )
  • x
    =
    3
    y
    2
     
  • x
    =
    y
    2
     
  • x
    =
    2
    y
    2
     
Question 8
8.
    • Which of the displayed parabolae represents
    • the equation
    • y
      =
      (
      9

      2
      x
      2
       
      +
      5
      )
      • parabola with point
      • L
      • parabola with point
      • K
      • parabola with point
      • N
      • parabola with point
      • M
Question 9
9.
    • If
    • 1
    • and
    • -4
    • are the zeros of the polynomial
    • f
      (
      x
      )
    • =
    • a
      x
      4
         
      94
      x
      2
        +  
      b
      x
         
      40
    • , find the value of
    • a
    • and
    • b
      • 8
      • ,
      • 127
      • 8
      • ,
      • 126
      • 127
      • ,
      • 9
      • 9
      • ,
      • 126
      • 125
      • ,
      • 7
Question 10
10.
    • The value of the polynomial
    • (
      2
      h
      i
      )
    • at
    •  
    • g
    • =
    • 2
    • ,
    • h
    • =
    • 3
    • ,
    • i
    • =
    • 2
    •  
    • is
  • -12
  • -13
  • -11
  • -9
  • -15