CBSE Board Practice

CBSE Grade IX - Polynomials
Question 1
1.
Which of the following algebraic expressions is a binomial?
  • (
    5
    s
    3
     
    9
    s
    2
     
    )
  • (
    7
    s
    4
     
    )
  • (
    5
    s
    4
     
    +
    7
    s
    3
     
    +
    5
    s
    2
     
    +
    7
    s
    7
    )
  • (
    6
    s
    4
     
    +
    4
    s
    3
    )
  • (
    2
    s
    4
     
    3
    s
    3
     
    5
    s
    2
     
    +
    4
    s
    +
    6
    )
Question 2
2.
    • (
      16
      x
      2
       
      y
      3
       
      +
      64
      x
      2
       
      y
      2
       
      )
    • ÷
    • 4
      x
      y
    • =
  • (
    16
    x
    y
    2
     
    z
    +
    4
    x
    y
    2
     
    )
  • (
    4
    x
    2
     
    y
    4
     
    +
    16
    x
    y
    )
  • (
    4
    x
    y
    2
     
    +
    16
    y
    2
     
    )
  • (
    4
    x
    2
     
    y
    3
     
    +
    16
    x
    y
    )
  • (
    4
    x
    y
    2
     
    +
    16
    x
    y
    )
Question 3
3.
    • The expanded form of
    • (
      x
      3
      )
    • (
      x
      9
      )
    • (
      x
      +
      5
      )
    • (
      x
      8
      )
    • is
  • (
    15
    x
    3
     
    +
    23
    x
    2
     
    +
    399
    x
    1080
    )
  • (
    3
    x
    4
     
    15
    x
    3
     
    +
    23
    x
    2
     
    +
    399
    x
    1080
    )
  • (
    x
    4
     
    15
    x
    3
     
    +
    23
    x
    2
     
    +
    399
    x
    1080
    )
  • (
    2
    x
    4
     
    15
    x
    3
     
    +
    23
    x
    2
     
    +
    399
    x
    1080
    )
  • (
    x
    4
     
    15
    x
    3
     
    +
    23
    x
    2
     
    +
    399
    x
    1080
    )
Question 4
4.
    • Which of the following is a factor of
    • (
      7
      x
      4
       
      +
      y
      3
       
      z
      5
       
      )
    • ?
  • y
    3
     
  • 7
    x
    4
     
  • no factors
  • y
    3
     
    z
    5
     
  • x
    z
    4
     
Question 5
5.
Which of the following are true?
a)
    • π
    • r
      2
    • is a monomial
b)
A binomial may have degree 3
c)
Degree of zero polynomial is zero
d)
A binomial has two and only two terms
e)
Every polynomial is a binomial
  • {c,a,b}
  • {e,b}
  • {a,b,d}
  • {c,a}
  • {c,e,d}
Question 6
6.
    • The value of the polynomial
    • (
      5
      x
      2
      )
    • at
    •  
    • x
    • =
    • (-2)
    • is
  • 7
  • 8
  • 10
  • 9
  • 6
Question 7
7.
    • Factorize
    •  
    • (
      6
      a
      3
      b
      )
      3
        +  
      (
      3
      b
      2
      c
      )
      3
        +  
      (
      2
      c
      6
      a
      )
      3
      • 3
      • (
        6
        a
        3
        b
        )
      • (
        3
        b
        2
        c
        )
      • (
        2
        c
        6
        a
        )
      • 3
      • (
        6
        a
        3
        b
        )
      • (
        3
        b
        +
        2
        c
        )
      • (
        2
        c
        +
        6
        a
        )
      • 3
      • (
        6
        a
        3
        b
        )
      • (
        3
        b
        2
        c
        )
      • (
        2
        c
        +
        6
        a
        )
      • 3
      • (
        6
        a
        +
        3
        b
        )
      • (
        3
        b
        2
        c
        )
      • (
        2
        c
        6
        a
        )
      • 3
      • (
        6
        a
        3
        b
        )
      • (
        3
        b
        +
        2
        c
        )
      • (
        2
        c
        6
        a
        )
Question 8
8.
    • Factorize
    •  
    • (
      54
      x
      y
      +
      45
      y
      2
       
      )
      • 9
        y
      • (
        6
        x
        5
        y
        )
      • 9
        y
      • (
        6
        x
        5
        y
        )
      • 9
        x
      • (
        6
        x
        +
        5
        y
        )
      • 9
        y
      • (
        6
        x
        +
        5
        y
        )
      • 9
        x
      • (
        6
        x
        5
        y
        )
Question 9
9.
    • (
      2
      x
      4
       
      +
      12
      x
      3
       
      +
      16
      x
      2
       
      )
    • ÷
    • (
      2
      x
      2
       
      +
      4
      x
      )
  • 4
    x
  • (
    x
    2
     
    +
    4
    x
    )
  • (
    x
    2
     
    4
    x
    )
  • (
    x
    2
     
    +
    4
    x
    )
  • (
    x
    2
     
    +
    5
    x
    )
Question 10
10.
    • (
      a
      +
      b
      +
      c
      )
      2
       
  • (
    a
    2
     
    +
    2
    a
    b
    +
    2
    a
    c
    +
    b
    2
     
    +
    2
    b
    c
    +
    c
    2
     
    )
  • (
    2
    a
    2
     
    +
    2
    a
    b
    +
    2
    a
    c
    +
    b
    2
     
    +
    2
    b
    c
    +
    c
    2
     
    )
  • (
    2
    a
    b
    +
    2
    a
    c
    +
    b
    2
     
    +
    2
    b
    c
    +
    c
    2
     
    )
  • (
    a
    2
     
    +
    5
    a
    b
    +
    2
    a
    c
    +
    b
    2
     
    +
    2
    b
    c
    +
    c
    2
     
    )
  • (
    a
    2
     
    a
    b
    +
    2
    a
    c
    +
    b
    2
     
    +
    2
    b
    c
    +
    c
    2
     
    )