SSC Board Practice

Class VI Class VII Class VIII Class IX Class X
SSC Grade IX - Polynomials and Factorisation
Question 1
1.
    • If
    • f
      (
      x
      )
    • =
    • (
      9
      x
      3
       
      −
      39
      x
      2
       
      +
      54
      x
      −
      24
      		)
    • and
    • g
      (
      x
      )
    • =
    • (
      2
      x
      3
       
      −
      18
      x
      2
       
      +
      48
      x
      −
      40
      		)
    • have a common factor, find the common factor
  • (
    3
    x
    −
    3
    		)
  • (
    3
    x
    −
    4
    		)
  • (
    x
    −
    5
    		)
  • (
    2
    x
    −
    4
    		)
  • (
    x
    −
    2
    		)
Question 2
2.
    • The degree of the polynomial
    • (
      −
      c
      −
      2
      		)
    • is
  • 0
  • 2
  • 3
  • (-2)
  • 1
Question 3
3.
    • The expanded form of
    • (
      4
      h
      		)
      3
       
    • is
  • 4
    h
  • 4
    h
    ✕
    4
    h
    ✕
    4
    h
    ✕
    4
    h
    ✕
    4
    h
  • 4
    h
    ✕
    4
    h
    ✕
    4
    h
    ✕
    4
    h
  • 4
    h
    ✕
    4
    h
    ✕
    4
    h
  • 4
    h
    ✕
    4
    h
Question 4
4.
    • The degree of polynomial
    • (
      −
      3
      h
      i
      +
      3
      h
      +
      12
      i
      −
      9
      		)
    • is
  • 3
  • 2
  • 0
  • 4
  • 1
Question 5
5.
    • Factorize
    • (
      49
      x
      2
       
      −
      81
      		)
      • (
        7
        x
        +
        27
        		)
      • (
        7
        x
        −
        3
        		)
      • (
        7
        x
        +
        9
        		)
      • (
        7
        x
        +
        9
        		)
      • (
        7
        x
        −
        27
        		)
      • (
        7
        x
        +
        3
        		)
      • (
        7
        x
        +
        9
        		)
      • (
        7
        x
        −
        9
        		)
      • (
        7
        x
        −
        9
        		)
      • (
        7
        x
        −
        9
        		)
Question 6
6.
    • The value of the polynomial
    • (
      7
      a
      2
       
      +
      5
      a
      c
      		)
    • at
    •  
    • a
    • =
    • (-5)
    • ,
    • b
    • =
    • (-2)
    • ,
    • c
    • =
    • (-5)
    •  
    • is
  • 297
  • 299
  • 302
  • 301
  • 300
Question 7
7.
    • The value of the polynomial
    • (
      8
      s
      2
       
      u
      2
       
      −
      4
      s
      t
      2
       
      u
      −
      6
      s
      		)
    • at
    •  
    • s
    • =
    • 0
    • ,
    • t
    • =
    • (-4)
    • ,
    • u
    • =
    • 5
    •  
    • is
  • 1
  • 2
  • 0
  • -3
  • -1
Question 8
8.
Which of the following are polynomials?
a)
    • (
      x
      +
      y
      		)
b)
    • x
      2
       
      +
      1
      x
      2
       
c)
    • x
      2
       
d)
    • x
      +
      1
      x
e)
    • (
      x
      +
      y
      		)
      (
      x
      −
      y
      		)
  • {d,c,a}
  • {e,b,a}
  • {a,c}
  • {d,c}
  • {b,a}
Question 9
9.
    • (
      4
      a
      +
      4
      b
      +
      3
      c
      		)
    • (
      16
      a
      2
       
      −
      16
      a
      b
      −
      12
      a
      c
      +
      16
      b
      2
       
      −
      12
      b
      c
      +
      9
      c
      2
       
      		)
  • (
    63
    a
    3
     
    −
    144
    a
    b
    c
    +
    64
    b
    3
     
    +
    27
    c
    3
     
    		)
  • (
    65
    a
    3
     
    −
    144
    a
    b
    c
    +
    64
    b
    3
     
    +
    27
    c
    3
     
    		)
  • (
    64
    a
    3
     
    −
    141
    a
    b
    c
    +
    64
    b
    3
     
    +
    27
    c
    3
     
    		)
  • (
    64
    a
    3
     
    −
    144
    a
    b
    c
    +
    64
    b
    3
     
    +
    27
    c
    3
     
    		)
  • (
    64
    a
    3
     
    −
    147
    a
    b
    c
    +
    64
    b
    3
     
    +
    27
    c
    3
     
    		)
Question 10
10.
Which of the following are true?
a)
Zero of a polynomial and zero polynomial are synonymous
b)
If (x - a) is a factor of f(x), then f(a) = 0
c)
Zero of a polynomial is the value of the variable for which the polynomial value is zero
d)
A linear polynomial in one variable has only one root
e)
If (x + a) is a factor of f(x), then f(a) = 0
f)
A polynomial of degree n has atmost n zeros
g)
Zero of a polynomial and root of the polynomial are synonymous
  • {a,e,d}
  • {a,b}
  • {a,f,g}
  • {b,c,d,f,g}
  • {e,c}