CBSE Board Practice

Class VI Class VII Class VIII Class IX Class X
CBSE Grade IX - Polynomials
Question 1
1.
    • (
      a
      +
      b
      		)
      3
       
  • (
    a
    3
     
    +
    3
    a
    2
     
    b
    +
    3
    a
    b
    2
     
    +
    b
    3
     
    		)
  • (
    a
    3
     
    +
    3
    a
    b
    2
     
    +
    b
    3
     
    		)
  • (
    2
    a
    3
     
    +
    3
    a
    2
     
    b
    +
    3
    a
    b
    2
     
    +
    b
    3
     
    		)
  • (
    3
    a
    2
     
    b
    +
    3
    a
    b
    2
     
    +
    b
    3
     
    		)
  • (
    a
    3
     
    +
    6
    a
    2
     
    b
    +
    3
    a
    b
    2
     
    +
    b
    3
     
    		)
Question 2
2.
    • The value of
    • 91
      1
      3
    • ✕
    • 88
      2
      3
    • is
  • 8098
    2
    9
  • 8098
    4
    9
  • 8098
  • 8098
    2
    11
  • 8098
    2
    7
Question 3
3.
    • (
      x
      4
       
      +
      4
      x
      3
       
      		)
    • ÷
    • x
      2
       
  • 4
    x
  • (
    x
    2
     
    +
    5
    x
    		)
  • (
    −
    x
    2
     
    +
    4
    x
    		)
  • (
    x
    2
     
    −
    4
    x
    		)
  • (
    x
    2
     
    +
    4
    x
    		)
Question 4
4.
Which of the following algebraic expressions is a monomial?
  • (
    5
    t
    +
    6
    		)
  • (
    −
    9
    t
    4
     
    +
    t
    3
     
    −
    4
    t
    2
     
    +
    8
    t
    +
    4
    		)
  • (
    −
    t
    4
     
    		)
  • (
    −
    7
    t
    4
     
    +
    9
    t
    +
    8
    		)
  • (
    5
    t
    4
     
    −
    7
    t
    3
     
    −
    t
    2
     
    −
    4
    t
    +
    1
    		)
Question 5
5.
    • The value of the polynomial
    • (
      −
      5
      y
      2
       
      +
      7
      y
      −
      7
      		)
    • at
    •  
    • y
    • =
    • 4
    • is
  • -58
  • -60
  • -57
  • -62
  • -59
Question 6
6.
    • Factorize
    • (
      x
      3
       
      +
      3
      x
      2
       
      a
      +
      3
      x
      a
      2
       
      −
      x
      +
      a
      3
       
      −
      a
      		)
      • (
        x
        +
        a
        		)
      • (
        x
        +
        a
        −
        1
        		)
      • (
        x
        −
        a
        +
        1
        		)
      • (
        x
        −
        a
        		)
      • (
        x
        −
        a
        −
        1
        		)
      • (
        x
        +
        a
        +
        1
        		)
      • (
        x
        +
        a
        		)
      • (
        x
        −
        a
        −
        1
        		)
      • (
        x
        +
        a
        +
        1
        		)
      • (
        x
        −
        a
        		)
      • (
        x
        +
        a
        −
        1
        		)
      • (
        x
        −
        a
        +
        1
        		)
      • (
        x
        +
        a
        		)
      • (
        x
        +
        a
        −
        1
        		)
      • (
        x
        +
        a
        +
        1
        		)
Question 7
7.
    • Factorize
    •  
    • (
      3
      a
      −
      2
      b
      		)
      3
      		  +  
      (
      2
      b
      −
      4
      c
      		)
      3
      		  +  
      (
      4
      c
      −
      3
      a
      		)
      3
      • 3
      • (
        3
        a
        −
        2
        b
        		)
      • (
        2
        b
        −
        4
        c
        		)
      • (
        4
        c
        +
        3
        a
        		)
      • 3
      • (
        3
        a
        +
        2
        b
        		)
      • (
        2
        b
        −
        4
        c
        		)
      • (
        4
        c
        −
        3
        a
        		)
      • 3
      • (
        3
        a
        −
        2
        b
        		)
      • (
        2
        b
        −
        4
        c
        		)
      • (
        4
        c
        −
        3
        a
        		)
      • 3
      • (
        3
        a
        −
        2
        b
        		)
      • (
        2
        b
        +
        4
        c
        		)
      • (
        4
        c
        +
        3
        a
        		)
      • 3
      • (
        3
        a
        −
        2
        b
        		)
      • (
        2
        b
        +
        4
        c
        		)
      • (
        4
        c
        −
        3
        a
        		)
Question 8
8.
    • Which of the following are true ?
a)
Division of a polynomial with another polynomial stops when the degree of the remainder equals the degree of the divisor
b)
If the degree of p(x) is less then the degree of d(x), we should not divide p(x) with d(x)
c)
If p(x) is divided by (x - a), the remainder is p(a)
d)
If p(a) = 0, then (x + a) perfectly divides p(x)
  • {a,d,b}
  • {b,c}
  • {a,b}
  • {d,c}
  • {a,c,b}
Question 9
9.
    • Factorize
    • (
      4
      a
      2
       
      +
      8
      a
      b
      +
      4
      b
      2
       
      		)
  • (
    3
    a
    +
    2
    b
    		)
    (
    3
    a
    +
    2
    b
    		)
  • (
    2
    a
    −
    b
    		)
    2
    a
  • (
    2
    a
    +
    2
    b
    		)
    (
    2
    a
    +
    2
    b
    		)
  • (
    a
    +
    2
    b
    		)
    (
    a
    +
    2
    b
    		)
  • (
    2
    a
    +
    5
    b
    		)
    (
    2
    a
    +
    5
    b
    		)
Question 10
10.
    • Factorize
    •  
    • (
      10
      a
      −
      3
      b
      		)
      3
      		  −  
      (
      6
      a
      −
      2
      b
      		)
      3
      		  −  
      (
      4
      a
      −
      b
      		)
      3
      • 3
      • (
        6
        a
        −
        2
        b
        		)
      • (
        4
        a
        +
        b
        		)
      • (
        10
        a
        −
        3
        b
        		)
      • 3
      • (
        6
        a
        +
        2
        b
        		)
      • (
        4
        a
        +
        b
        		)
      • (
        2
        a
        −
        b
        		)
      • 3
      • (
        6
        a
        −
        2
        b
        		)
      • (
        4
        a
        −
        b
        		)
      • (
        10
        a
        −
        3
        b
        		)
      • 3
      • (
        6
        a
        +
        2
        b
        		)
      • (
        4
        a
        +
        b
        		)
      • (
        10
        a
        −
        3
        b
        		)
      • 3
      • (
        6
        a
        +
        2
        b
        		)
      • (
        4
        a
        −
        b
        		)
      • (
        10
        a
        −
        3
        b
        		)