SSC Board Practice

SSC Grade X - Polynomials
Question 1
1.
    • The product of the roots of the quadratic equation
    • (
      63
      x
      2
       
      112
      x
      +
      49
      )
      =
      0
    • is
  • 7

    9
  • 1
  • 7

    11
  • 5

    9
Question 2
2.
    • The value of the polynomial
    • (
      6
      b
      4
       
      +
      6
      b
      3
       
      5
      b
      2
       
      +
      b
      2
      )
    • at
    •  
    • b
    • =
    • 0
    • is
  • 1
  • -4
  • -3
  • -1
  • -2
Question 3
3.
Which of the following are not polynomials?
a)
    • (
      11
      x
      +
      11
      y
      )
b)
    • (
      11
      x
      +
      11
      y
      )

      (
      3
      x
      3
      y
      )
c)
    • x
      +
      1

      x
d)
    • 121
      x
      2
       
e)
    • (
      33
      x
      2
       
      33
      y
      2
       
      )
  • {b,c}
  • {e,a,b}
  • {d,c,b}
  • {a,b}
  • {d,c}
Question 4
4.
    • From the graph, find the approximate values of '
    • x
    • ' for which
    • y
    • =
    • -2
      • -3.76
      • ,
      • 0.09
      • -2.76
      • ,
      • -0.91
      • -4.26
      • ,
      • 0.59
      • -3.26
      • ,
      • -0.41
      • -2.26
      • ,
      • -1.41
Question 5
5.
    • If
    • α
    • =
    • 9

      2
    • ,
    • β
    • =
    • 4

      9
    • ,
    • γ
    • =
    • 5

      6
    • are the roots of the cubic equation
    •  
       
      a
      x
      3
        +  
       
       
      b
      x
      2
        +  
       
       
      c
      x
        +  
       
       
      d
      = 0
    • ,
    • then find
    •  
    • c

      a
  • 5

    3
  • 52

    9
  • (
    661

    108
    )
  • 661

    108
  • (
    5

    3
    )
Question 6
6.
    • From the graph, find the approximate values of '
    • x
    • ' for which
    • y
    • =
    • 3
      • 1.72
      • ,
      • -1.72
      • 2.22
      • ,
      • -2.22
      • 0.72
      • ,
      • -0.72
      • 1.22
      • ,
      • -1.22
      • 0.22
      • ,
      • -0.22
Question 7
7.
    • The value of the polynomial
    • (
      2
      v
      2
       
      x
      +
      5
      x
      )
    • at
    •  
    • v
    • =
    • 4
    • ,
    • w
    • =
    • (-2)
    • ,
    • x
    • =
    • 2
    •  
    • is
  • -55
  • -53
  • -52
  • -57
  • -54
Question 8
8.
    • From the following graph of
    • y = p(x)
    • , find the number of zeroes of
    • p(x)
  • 1
  • (-1)
  • 0
  • 3
  • 2
Question 9
9.
    • The constant term in polynomial
    • (
      e
      +
      9
      )
    • is
  • 7
  • 9
  • 11
  • 8
  • 10
Question 10
10.
    • Find the quadratic equation with roots
    • (
      (
      -1

      7
      )
      ,
      (
      -1

      7
      )
      )
  • (
    63
    x
    2
     
    +
    16
    x
    +
    1
    )
    =
    0
  • (
    49
    x
    2
     
    +
    28
    x
    +
    3
    )
    =
    0
  • (
    35
    x
    2
     
    +
    12
    x
    +
    1
    )
    =
    0
  • (
    49
    x
    2
     
    +
    14
    x
    +
    1
    )
    =
    0
  • (
    49
    x
    2
     
    1
    )
    =
    0