EduSahara™ Assignment
Name : Polynomial Concepts
Chapter : Polynomials and Factorisation
Grade : SSC Grade IX
License : Non Commercial Use
Question 1
1.
Which of the following are polynomials?
a)
    • x
      +
      1

      x
b)
    • x
      2
       
      +
      1

      x
      2
       
c)
    • x
      2
       
d)
    • (
      x
      +
      y
      )
e)
    • (
      x
      +
      y
      )

      (
      x
      y
      )
  • (i)
    {c,d}
  • (ii)
    {a,c}
  • (iii)
    {e,a,c}
  • (iv)
    {b,d}
  • (v)
    {b,d,c}
Question 2
2.
Which of the following are not polynomials?
a)
    • (
      2
      x
      +
      6
      y
      )

      (
      9
      x
      8
      y
      )
b)
    • x
      +
      1

      x
c)
    • 100
      x
      2
       
d)
    • (
      2
      x
      +
      6
      y
      )
e)
    • (
      18
      x
      2
       
      +
      38
      x
      y
      48
      y
      2
       
      )
  • (i)
    {d,b,a}
  • (ii)
    {e,c,a}
  • (iii)
    {d,b}
  • (iv)
    {a,b}
  • (v)
    {c,a}
Question 3
3.
Which of the following are not polynomials?
a)
    • 100
      x
      2
       
      +
      1

      100
      x
      2
       
b)
    • 100
      x
      2
       
c)
    • (
      7
      x
      10
      y
      )
d)
    • (
      4
      x
      +
      10
      y
      )
e)
    • √x
  • (i)
    {c,e,a}
  • (ii)
    {a,e}
  • (iii)
    {b,a}
  • (iv)
    {d,b,a}
  • (v)
    {c,e}
Question 4
4.
Which of the following are not polynomials?
a)
    • (
      2
      x
      2
      y
      )
b)
    • (
      5
      x
      +
      9
      y
      )

      (
      2
      x
      2
      y
      )
c)
    • √x
d)
    • 144
      x
      2
       
e)
    • (
      10
      x
      2
       
      +
      8
      x
      y
      18
      y
      2
       
      )
  • (i)
    {b,c}
  • (ii)
    {a,b}
  • (iii)
    {d,c,b}
  • (iv)
    {d,c}
  • (v)
    {e,a,b}
Question 5
5.
Which of the following are polynomials?
a)
    • (
      x
      +
      y
      )

      (
      x
      y
      )
b)
    • (
      x
      +
      y
      )
c)
    • x
      2
       
d)
    • x
      2
       
      +
      1

      x
      2
       
e)
    • x
      +
      1

      x
  • (i)
    {b,c}
  • (ii)
    {d,c,b}
  • (iii)
    {a,b}
  • (iv)
    {d,c}
  • (v)
    {e,a,b}
Question 6
6.
Which of the following are not polynomials?
a)
    • 144
      x
      2
       
b)
    • (
      3
      x
      +
      6
      y
      )

      (
      7
      x
      8
      y
      )
c)
    • (
      3
      x
      +
      6
      y
      )
d)
    • x
      +
      1

      x
e)
    • (
      21
      x
      2
       
      +
      18
      x
      y
      48
      y
      2
       
      )
  • (i)
    {e,a,b}
  • (ii)
    {c,d}
  • (iii)
    {a,b}
  • (iv)
    {c,d,b}
  • (v)
    {b,d}
Question 7
7.
Which of the following are not polynomials?
a)
    • √x
b)
    • (
      x
      +
      11
      y
      )
c)
    • x
      2
       
d)
    • (
      3
      x
      6
      y
      )
e)
    • x
      2
       
      +
      1

      x
      2
       
  • (i)
    {b,a}
  • (ii)
    {a,e}
  • (iii)
    {c,e}
  • (iv)
    {d,b,a}
  • (v)
    {c,e,a}
Question 8
8.
Which of the following are not polynomials?
a)
    • (
      2
      x
      12
      y
      )
b)
    • (
      6
      x
      2
       
      14
      x
      y
      132
      y
      2
       
      )
c)
    • √x
d)
    • 100
      x
      2
       
e)
    • (
      3
      x
      +
      11
      y
      )

      (
      2
      x
      12
      y
      )
  • (i)
    {d,a,c}
  • (ii)
    {c,e}
  • (iii)
    {a,c}
  • (iv)
    {b,e,c}
  • (v)
    {b,e}
Question 9
9.
    • The degree of the polynomial
    • (
      9
      m
      +
      1
      )
    • is
  • (i)
    2
  • (ii)
    1
  • (iii)
    3
  • (iv)
    (-2)
  • (v)
    0
Question 10
10.
    • The degree of the polynomial
    • (
      2
      m
      2
       
      4
      m
      +
      7
      )
    • is
  • (i)
    2
  • (ii)
    3
  • (iii)
    4
  • (iv)
    (-1)
  • (v)
    1
Question 11
11.
    • The degree of the polynomial
    • (
      6
      d
      4
       
      +
      d
      3
       
      +
      d
      2
       
      )
    • is
  • (i)
    5
  • (ii)
    3
  • (iii)
    4
  • (iv)
    2
  • (v)
    7
Question 12
12.
    • The degree of the polynomial
    • (
      7
      j
      4
       
      4
      j
      3
       
      +
      8
      j
      2
       
      +
      2
      j
      2
      )
    • is
  • (i)
    2
  • (ii)
    5
  • (iii)
    4
  • (iv)
    3
  • (v)
    7
Question 13
13.
    • The coefficient of term
    • y
    • in polynomial
    • (
      3
      y
      4
      )
    • is
  • (i)
    -6
  • (ii)
    -2
  • (iii)
    -3
  • (iv)
    -1
  • (v)
    -4
Question 14
14.
    • The coefficient of term
    • x
    • in polynomial
    • (
      8
      x
      2
       
      +
      2
      x
      3
      )
    • is
  • (i)
    5
  • (ii)
    1
  • (iii)
    3
  • (iv)
    2
  • (v)
    0
Question 15
15.
    • The constant term in polynomial
    • (
      9
      r
      3
       
      +
      4
      r
      2
       
      +
      9
      r
      +
      7
      )
    • is
  • (i)
    6
  • (ii)
    4
  • (iii)
    8
  • (iv)
    7
  • (v)
    10
Question 16
16.
    • The coefficient of term
    • m
      4
       
    • in polynomial
    • (
      7
      m
      4
       
      +
      6
      m
      3
       
      +
      9
      m
      2
       
      2
      m
      5
      )
    • is
  • (i)
    9
  • (ii)
    4
  • (iii)
    8
  • (iv)
    6
  • (v)
    7
Question 17
17.
Which of the following algebraic expressions is a monomial?
  • (i)
    (
    r
    4
     
    2
    r
    3
     
    3
    r
    2
     
    )
  • (ii)
    (
    6
    r
    4
     
    9
    )
  • (iii)
    (
    4
    r
    4
     
    7
    r
    3
     
    9
    r
    2
     
    r
    +
    4
    )
  • (iv)
    6
    r
    3
     
  • (v)
    (
    9
    r
    4
     
    9
    r
    3
     
    +
    8
    r
    2
     
    6
    r
    +
    6
    )
Question 18
18.
Which of the following algebraic expressions is a binomial?
  • (i)
    (
    6
    q
    4
     
    +
    8
    q
    3
     
    +
    9
    q
    2
     
    2
    q
    +
    7
    )
  • (ii)
    (
    8
    q
    3
     
    +
    8
    q
    2
     
    4
    q
    )
  • (iii)
    (
    3
    q
    3
     
    9
    q
    )
  • (iv)
    q
  • (v)
    (
    3
    q
    4
     
    9
    q
    3
     
    +
    3
    q
    2
     
    9
    q
    1
    )
Question 19
19.
Which of the following algebraic expressions is a trinomial?
  • (i)
    (
    6
    m
    4
     
    +
    5
    m
    3
     
    3
    )
  • (ii)
    (
    m
    3
     
    3
    m
    2
     
    )
  • (iii)
    (
    4
    m
    4
     
    +
    4
    m
    3
     
    9
    m
    2
     
    7
    m
    7
    )
  • (iv)
    (
    8
    m
    3
     
    )
  • (v)
    (
    3
    m
    4
     
    +
    m
    3
     
    m
    2
     
    6
    m
    8
    )
Question 20
20.
Which of the following algebraic expressions is a constant polynomial?
  • (i)
    (
    7
    z
    2
     
    )
  • (ii)
    (
    9
    z
    4
     
    +
    2
    z
    3
     
    +
    5
    z
    2
     
    5
    z
    +
    3
    )
  • (iii)
    (
    2
    z
    4
     
    +
    7
    z
    3
     
    1
    )
  • (iv)
    (
    6
    )
  • (v)
    (
    7
    z
    4
     
    z
    3
     
    )
Question 21
21.
Which of the following algebraic expressions is a zero polynomial?
  • (i)
    0
  • (ii)
    (
    6
    n
    4
     
    8
    n
    3
     
    )
  • (iii)
    (
    7
    n
    )
  • (iv)
    (
    9
    n
    4
     
    4
    n
    2
     
    4
    n
    )
  • (v)
    (
    2
    n
    4
     
    +
    5
    n
    3
     
    5
    n
    2
     
    +
    9
    n
    +
    8
    )
Question 22
22.
Which of the following algebraic expressions is a constant polynomial?
  • (i)
    (
    3
    j
    5
     
    +
    4
    j
    4
     
    4
    j
    2
     
    +
    4
    j
    5
    )
  • (ii)
    (
    3
    j
    2
     
    5
    j
    +
    1
    )
  • (iii)
    (
    j
    3
     
    +
    j
    2
     
    8
    j
    5
    )
  • (iv)
    (
    7
    j
    7
    )
  • (v)
    (
    6
    )
Question 23
23.
Which of the following algebraic expressions is a linear polynomial?
  • (i)
    (
    7
    n
    2
     
    4
    n
    4
    )
  • (ii)
    8
  • (iii)
    (
    8
    n
    3
     
    7
    n
    2
     
    n
    9
    )
  • (iv)
    (
    n
    +
    7
    )
  • (v)
    (
    6
    n
    5
     
    6
    n
    4
     
    3
    n
    2
     
    4
    n
    3
    )
Question 24
24.
Which of the following algebraic expressions is a quadratic polynomial?
  • (i)
    (
    3
    e
    2
     
    +
    3
    e
    +
    4
    )
  • (ii)
    (
    6
    e
    3
     
    6
    e
    2
     
    +
    3
    e
    +
    2
    )
  • (iii)
    (
    6
    e
    +
    2
    )
  • (iv)
    (
    1
    )
  • (v)
    (
    7
    e
    5
     
    +
    9
    e
    4
     
    3
    e
    3
     
    +
    e
    2
     
    +
    4
    )
Question 25
25.
Which of the following algebraic expressions is a cubic polynomial?
  • (i)
    (
    2
    x
    3
     
    4
    x
    2
     
    4
    x
    1
    )
  • (ii)
    (
    9
    x
    2
     
    4
    x
    +
    9
    )
  • (iii)
    (
    5
    x
    5
     
    x
    4
     
    5
    x
    3
     
    3
    x
    2
     
    x
    )
  • (iv)
    (
    9
    x
    8
    )
  • (v)
    (
    5
    )
Question 26
26.
    • The degree of polynomial
    • (
      5
      i
      j
      +
      i
      +
      9
      j
      +
      4
      )
    • is
  • (i)
    1
  • (ii)
    3
  • (iii)
    2
  • (iv)
    (-1)
  • (v)
    5
Question 27
27.
    • The degree of polynomial
    • (
      5
      f
      2
       
      g
      2
       
      +
      9
      f
      2
       
      g
      +
      4
      f
      4
      )
    • is
  • (i)
    2
  • (ii)
    6
  • (iii)
    3
  • (iv)
    4
  • (v)
    5
Question 28
28.
    • The degree of polynomial
    • (
      5
      i
      2
       
      j
      +
      7
      i
      j
      2
       
      +
      8
      j
      2
       
      k
      +
      9
      k
      2
       
      8
      k
      )
    • is
  • (i)
    1
  • (ii)
    6
  • (iii)
    2
  • (iv)
    3
  • (v)
    4
Question 29
29.
    • The degree of polynomial
    • (
      w
      3
       
      x
      2
       
      8
      w
      3
       
      x
      y
      2
       
      8
      w
      3
       
      +
      2
      w
      2
       
      x
      2
       
      +
      8
      w
      x
      3
       
      +
      4
      w
      x
      y
      2
       
      6
      x
      2
       
      )
    • is
  • (i)
    5
  • (ii)
    8
  • (iii)
    4
  • (iv)
    7
  • (v)
    6
Question 30
30.
    • The constant term in polynomial
    • (
      9
      n
      o
      +
      9
      n
      6
      o
      3
      )
    • is
  • (i)
    -2
  • (ii)
    -6
  • (iii)
    -3
  • (iv)
    -4
  • (v)
    -1
Question 31
31.
    • The constant term in polynomial
    • (
      4
      k
      2
       
      2
      k
      l
      2
       
      7
      k
      l
      4
      )
    • is
  • (i)
    -4
  • (ii)
    -6
  • (iii)
    -3
  • (iv)
    -2
  • (v)
    -5
Question 32
32.
    • The coefficient of term
    • c
      d
    • in polynomial
    • (
      2
      b
      c
      2
       
      d
      b
      +
      9
      c
      d
      4
      d
      2
       
      7
      d
      )
    • is
  • (i)
    8
  • (ii)
    9
  • (iii)
    10
  • (iv)
    11
  • (v)
    6
Question 33
33.
    • The coefficient of term
    • h
      2
       
      i
      2
       
      j
      3
       
    • in polynomial
    • (
      h
      3
       
      i
      j
      3
       
      6
      h
      2
       
      i
      2
       
      j
      3
       
      7
      h
      2
       
      i
      2
       
      j
      +
      2
      h
      i
      3
       
      j
      2
       
      5
      h
      i
      +
      3
      i
      3
       
      j
      +
      8
      i
      j
      3
       
      )
    • is
  • (i)
    -5
  • (ii)
    -8
  • (iii)
    -7
  • (iv)
    -6
  • (v)
    -4
Question 34
34.
Which of the following algebraic expressions is a monomial?
  • (i)
    (
    9
    d
    3
     
    e
    2
     
    +
    d
    e
    3
     
    f
    2
     
    8
    e
    )
  • (ii)
    (
    9
    d
    3
     
    e
    f
    3
     
    2
    d
    e
    2
     
    )
  • (iii)
    9
    d
    3
     
    e
    f
  • (iv)
    (
    4
    e
    3
     
    f
    7
    e
    2
     
    +
    6
    e
    f
    3
     
    8
    f
    2
     
    )
  • (v)
    (
    3
    d
    2
     
    e
    3
     
    +
    7
    d
    e
    2
     
    f
    3
     
    +
    8
    d
    e
    f
    8
    e
    2
     
    f
    )
Question 35
35.
Which of the following algebraic expressions is a binomial?
  • (i)
    (
    7
    a
    3
     
    b
    c
    3
     
    7
    a
    2
     
    +
    8
    b
    c
    3
     
    )
  • (ii)
    (
    6
    b
    3
     
    c
    3
    b
    2
     
    )
  • (iii)
    (
    3
    a
    3
     
    b
    3
     
    c
    2
     
    )
  • (iv)
    (
    2
    a
    2
     
    b
    2
     
    5
    a
    b
    3
     
    c
    2
     
    7
    a
    b
    2
     
    c
    +
    6
    b
    c
    )
  • (v)
    (
    9
    a
    3
     
    b
    2
     
    c
    2
     
    +
    8
    a
    3
     
    +
    8
    a
    2
     
    b
    2
     
    c
    +
    8
    b
    2
     
    c
    2
     
    )
Question 36
36.
Which of the following algebraic expressions is a trinomial?
  • (i)
    (
    3
    l
    2
     
    2
    l
    m
    3
     
    n
    8
    m
    3
     
    n
    2
     
    +
    9
    m
    2
     
    n
    2
     
    )
  • (ii)
    (
    2
    l
    m
    n
    3
     
    +
    7
    l
    )
  • (iii)
    (
    2
    l
    3
     
    m
    3
     
    n
    3
     
    +
    3
    l
    3
     
    n
    3
     
    +
    3
    m
    7
    n
    2
     
    )
  • (iv)
    (
    7
    l
    2
     
    m
    2
     
    n
    2
     
    )
  • (v)
    (
    5
    l
    3
     
    m
    2
     
    n
    3
     
    8
    l
    2
     
    m
    n
    2
     
    +
    7
    m
    n
    3
     
    )
Question 37
37.
Which of the following algebraic expressions is a constant polynomial?
  • (i)
    (
    9
    e
    f
    g
    2
     
    )
  • (ii)
    3
  • (iii)
    (
    9
    e
    3
     
    f
    g
    3
     
    +
    2
    f
    2
     
    g
    )
  • (iv)
    (
    5
    e
    3
     
    f
    +
    3
    e
    f
    2
     
    g
    3
     
    7
    f
    g
    3
     
    )
  • (v)
    (
    6
    e
    3
     
    f
    3
     
    5
    e
    2
     
    f
    3
     
    g
    3
     
    5
    e
    2
     
    f
    3
     
    g
    2
     
    2
    e
    f
    2
     
    )
Question 38
38.
Which of the following algebraic expressions is a zero polynomial?
  • (i)
    4
    j
    k
    l
    2
     
  • (ii)
    (
    9
    j
    2
     
    k
    2
     
    l
    j
    k
    2
     
    l
    4
    j
    l
    2
     
    )
  • (iii)
    (
    4
    j
    3
     
    k
    3
     
    5
    k
    2
     
    l
    3
     
    )
  • (iv)
    (
    7
    j
    2
     
    l
    3
     
    +
    j
    k
    3
     
    l
    +
    7
    k
    2
     
    l
    2
     
    +
    9
    k
    2
     
    l
    )
  • (v)
    0
Question 39
39.
Which of the following are true?
a)
A binomial may have degree 3
b)
Degree of zero polynomial is zero
c)
Every polynomial is a binomial
d)
A binomial has two and only two terms
e)
    • π
    • r
      2
    • is a monomial
  • (i)
    {c,d}
  • (ii)
    {b,c,e}
  • (iii)
    {a,d,e}
  • (iv)
    {b,a,d}
  • (v)
    {b,a}
    Assignment Key

  •  1) (i)
  •  2) (iv)
  •  3) (ii)
  •  4) (i)
  •  5) (i)
  •  6) (v)
  •  7) (ii)
  •  8) (ii)
  •  9) (ii)
  •  10) (i)
  •  11) (iii)
  •  12) (iii)
  •  13) (iii)
  •  14) (iv)
  •  15) (iv)
  •  16) (v)
  •  17) (iv)
  •  18) (iii)
  •  19) (i)
  •  20) (iv)
  •  21) (i)
  •  22) (v)
  •  23) (iv)
  •  24) (i)
  •  25) (i)
  •  26) (iii)
  •  27) (iv)
  •  28) (iv)
  •  29) (v)
  •  30) (iii)
  •  31) (i)
  •  32) (ii)
  •  33) (iv)
  •  34) (iii)
  •  35) (ii)
  •  36) (v)
  •  37) (ii)
  •  38) (v)
  •  39) (iii)