SSC Board Practice

SSC Grade IX - Polynomials and Factorisation
Question 1
1.
    • (
      3
      a
      5
      b
      )
      3
       
  • (
    27
    a
    3
     
    138
    a
    2
     
    b
    +
    225
    a
    b
    2
     
    125
    b
    3
     
    )
  • (
    26
    a
    3
     
    135
    a
    2
     
    b
    +
    225
    a
    b
    2
     
    125
    b
    3
     
    )
  • (
    27
    a
    3
     
    135
    a
    2
     
    b
    +
    225
    a
    b
    2
     
    125
    b
    3
     
    )
  • (
    27
    a
    3
     
    133
    a
    2
     
    b
    +
    225
    a
    b
    2
     
    125
    b
    3
     
    )
  • (
    28
    a
    3
     
    135
    a
    2
     
    b
    +
    225
    a
    b
    2
     
    125
    b
    3
     
    )
Question 2
2.
    • The remainder when
    • (
      9
      t
      4
       
      +
      t
      3
       
      +
      2
      t
      +
      7
      )
    • is divided by
    • (
      t
      +
      8
      )
    • is
  • 36343
  • 36341
  • 36342
  • 36344
  • 36346
Question 3
3.
Which of the following are true?
a)
Zero of a polynomial is the value of the variable for which the polynomial value is zero
b)
If (x + a) is a factor of f(x), then f(a) = 0
c)
Zero of a polynomial and root of the polynomial are synonymous
d)
Zero of a polynomial and zero polynomial are synonymous
e)
A polynomial of degree n has atmost n zeros
f)
A linear polynomial in one variable has only one root
g)
If (x - a) is a factor of f(x), then f(a) = 0
  • {b,a}
  • {a,c,e,f,g}
  • {b,d,e}
  • {b,f,g}
  • {d,c}
Question 4
4.
    • The value of
    • 78
    • 74
    • is
  • 5770
  • 5772
  • 5774
  • 5771
  • 5773
Question 5
5.
    • If
    • (
      3
      a
      4
      b
      )
    • A =
    • (
      27
      a
      3
       
      108
      a
      2
       
      b
      +
      144
      a
      b
      2
       
      64
      b
      3
       
      )
    • ,
    • then A =
  • (
    9
    a
    2
     
    24
    a
    b
    +
    16
    b
    2
     
    )
  • (
    9
    a
    2
     
    27
    a
    b
    +
    16
    b
    2
     
    )
  • (
    8
    a
    2
     
    24
    a
    b
    +
    16
    b
    2
     
    )
  • (
    10
    a
    2
     
    24
    a
    b
    +
    16
    b
    2
     
    )
  • (
    9
    a
    2
     
    22
    a
    b
    +
    16
    b
    2
     
    )
Question 6
6.
    • The expanded form of
    • (
      3

      5
      b
      c
      )
      3
       
    • is
  • 3

    5
    b
    c
  • 3

    5
    b
    c
    3

    5
    b
    c
    3

    5
    b
    c
    3

    5
    b
    c
  • 3

    5
    b
    c
    3

    5
    b
    c
    3

    5
    b
    c
    3

    5
    b
    c
    3

    5
    b
    c
  • 3

    5
    b
    c
    3

    5
    b
    c
    3

    5
    b
    c
  • 3

    5
    b
    c
    3

    5
    b
    c
Question 7
7.
    • If
    • (
      a
      +
      b
      )
      =
      11
    • ,
    • a
      b
      =
      30
    • , find
    • (
      a
      4
       
      +
      b
      4
       
      )
  • 1921
  • 1922
  • 1918
  • 1923
  • 1920
Question 8
8.
    • Factorize
    • (
      a
      2
       
      b
      2
       
      )
  • (
    a
    +
    b
    )
    (
    a
    b
    )
  • b
    (
    b
    )
  • (
    a
    2
    b
    )
    (
    a
    3
    b
    )
  • (
    2
    a
    +
    b
    )
    (
    2
    a
    b
    )
  • (
    a
    +
    4
    b
    )
    (
    a
    +
    2
    b
    )
Question 9
9.
    • The value of the polynomial
    • (
      9
      w
      +
      7
      )
    • at
    •  
    • w
    • =
    • 1
    • is
  • 17
  • 19
  • 16
  • 13
  • 15
Question 10
10.
    • The coefficient of term
    • c
      e
    • in polynomial
    • (
      8
      c
      2
       
      d
      2
       
      e
      8
      c
      e
      2
       
      +
      8
      c
      e
      +
      5
      c
      +
      3
      d
      e
      )
    • is
  • 9
  • 7
  • 11
  • 8
  • 6