EduSahara™ Assignment
Name : Polynomial Concepts
Chapter : Polynomials
Grade : SSC Grade X
License : Non Commercial Use
Question 1
1.
    • The degree of the polynomial
    • (
      7
      d
      7
      )
    • is
  • (i)
    0
  • (ii)
    (-1)
  • (iii)
    2
  • (iv)
    1
  • (v)
    4
Question 2
2.
    • The degree of the polynomial
    • (
      2
      s
      2
       
      8
      s
      +
      8
      )
    • is
  • (i)
    3
  • (ii)
    2
  • (iii)
    4
  • (iv)
    (-1)
  • (v)
    1
Question 3
3.
    • The degree of the polynomial
    • (
      2
      z
      3
       
      9
      z
      2
       
      +
      z
      )
    • is
  • (i)
    5
  • (ii)
    4
  • (iii)
    2
  • (iv)
    3
  • (v)
    0
Question 4
4.
    • The degree of the polynomial
    • (
      7
      p
      5
       
      9
      p
      4
       
      +
      6
      p
      3
       
      9
      p
      2
       
      +
      8
      )
    • is
  • (i)
    5
  • (ii)
    8
  • (iii)
    4
  • (iv)
    2
  • (v)
    6
Question 5
5.
    • The constant term in polynomial
    • (
      7
      h
      1
      )
    • is
  • (i)
    -4
  • (ii)
    -2
  • (iii)
    -1
  • (iv)
    1
  • (v)
    0
Question 6
6.
    • The coefficient of term
    • k
      2
       
    • in polynomial
    • (
      7
      k
      2
       
      9
      k
      +
      9
      )
    • is
  • (i)
    -9
  • (ii)
    -6
  • (iii)
    -5
  • (iv)
    -7
  • (v)
    -8
Question 7
7.
    • The constant term in polynomial
    • (
      u
      3
       
      6
      u
      2
       
      3
      u
      2
      )
    • is
  • (i)
    0
  • (ii)
    -4
  • (iii)
    -2
  • (iv)
    -1
  • (v)
    -3
Question 8
8.
    • The coefficient of term
    • d
    • in polynomial
    • (
      d
      4
       
      9
      d
      3
       
      d
      2
       
      7
      d
      3
      )
    • is
  • (i)
    -7
  • (ii)
    -6
  • (iii)
    -4
  • (iv)
    -8
  • (v)
    -9
Question 9
9.
Which of the following algebraic expressions is a monomial?
  • (i)
    (
    7
    u
    4
     
    +
    4
    u
    3
     
    2
    u
    )
  • (ii)
    (
    2
    u
    4
     
    5
    )
  • (iii)
    (
    3
    u
    2
     
    )
  • (iv)
    (
    3
    u
    4
     
    +
    2
    u
    3
     
    u
    2
     
    2
    u
    9
    )
  • (v)
    (
    4
    u
    4
     
    9
    u
    3
     
    +
    6
    u
    2
     
    +
    6
    u
    +
    3
    )
Question 10
10.
Which of the following algebraic expressions is a binomial?
  • (i)
    (
    9
    i
    4
     
    +
    6
    i
    3
     
    8
    i
    2
     
    +
    9
    i
    +
    2
    )
  • (ii)
    (
    6
    i
    3
     
    +
    i
    2
     
    )
  • (iii)
    (
    2
    i
    3
     
    )
  • (iv)
    (
    2
    i
    4
     
    2
    i
    3
     
    3
    i
    2
     
    8
    i
    +
    2
    )
  • (v)
    (
    8
    i
    4
     
    +
    8
    i
    3
     
    6
    i
    )
Question 11
11.
Which of the following algebraic expressions is a trinomial?
  • (i)
    (
    4
    e
    4
     
    +
    4
    e
    3
     
    6
    e
    2
     
    +
    e
    4
    )
  • (ii)
    (
    7
    e
    4
     
    2
    e
    3
     
    +
    9
    e
    )
  • (iii)
    (
    8
    e
    3
     
    )
  • (iv)
    (
    4
    e
    4
     
    9
    e
    3
     
    7
    e
    2
     
    4
    e
    7
    )
  • (v)
    (
    7
    e
    4
     
    2
    )
Question 12
12.
Which of the following algebraic expressions is a constant polynomial?
  • (i)
    (
    7
    p
    4
     
    +
    4
    p
    2
     
    +
    3
    )
  • (ii)
    (
    p
    3
     
    +
    6
    )
  • (iii)
    (
    6
    p
    4
     
    4
    p
    3
     
    +
    2
    p
    2
     
    7
    p
    7
    )
  • (iv)
    (
    6
    p
    )
  • (v)
    (
    7
    )
Question 13
13.
Which of the following algebraic expressions is a zero polynomial?
  • (i)
    (
    6
    p
    4
     
    +
    4
    p
    3
     
    4
    p
    2
     
    6
    p
    +
    1
    )
  • (ii)
    (
    7
    p
    4
     
    )
  • (iii)
    (
    5
    p
    3
     
    9
    p
    2
     
    1
    )
  • (iv)
    0
  • (v)
    (
    2
    p
    3
     
    +
    9
    )
Question 14
14.
Which of the following algebraic expressions is a constant polynomial?
  • (i)
    7
  • (ii)
    (
    4
    j
    2
     
    7
    j
    2
    )
  • (iii)
    (
    3
    j
    4
    )
  • (iv)
    (
    j
    5
     
    5
    j
    4
     
    3
    j
    3
     
    +
    7
    j
    2
     
    j
    )
  • (v)
    (
    5
    j
    3
     
    2
    j
    2
     
    5
    j
    7
    )
Question 15
15.
Which of the following algebraic expressions is a linear polynomial?
  • (i)
    (
    1
    )
  • (ii)
    (
    7
    g
    3
     
    2
    g
    2
     
    3
    g
    +
    9
    )
  • (iii)
    (
    8
    g
    2
     
    +
    4
    g
    +
    7
    )
  • (iv)
    (
    2
    g
    5
     
    6
    g
    4
     
    2
    g
    3
     
    5
    g
    2
     
    +
    2
    g
    )
  • (v)
    (
    2
    g
    9
    )
Question 16
16.
Which of the following algebraic expressions is a quadratic polynomial?
  • (i)
    (
    9
    e
    +
    4
    )
  • (ii)
    (
    2
    e
    5
     
    5
    e
    4
     
    +
    8
    e
    3
     
    +
    7
    e
    2
     
    +
    9
    e
    )
  • (iii)
    (
    e
    2
     
    +
    3
    e
    3
    )
  • (iv)
    (
    5
    )
  • (v)
    (
    4
    e
    3
     
    +
    2
    e
    2
     
    +
    2
    e
    +
    9
    )
Question 17
17.
Which of the following algebraic expressions is a cubic polynomial?
  • (i)
    (
    5
    g
    2
     
    9
    g
    2
    )
  • (ii)
    (
    8
    g
    3
     
    g
    2
     
    +
    6
    g
    +
    3
    )
  • (iii)
    4
  • (iv)
    (
    5
    g
    2
    )
  • (v)
    (
    g
    5
     
    9
    g
    4
     
    +
    5
    g
    3
     
    6
    g
    3
    )
Question 18
18.
    • The degree of polynomial
    • (
      8
      j
      k
      +
      8
      j
      +
      5
      k
      +
      9
      )
    • is
  • (i)
    2
  • (ii)
    (-1)
  • (iii)
    4
  • (iv)
    1
  • (v)
    3
Question 19
19.
    • The degree of polynomial
    • (
      5
      o
      2
       
      p
      2
       
      +
      13
      o
      p
      2
       
      +
      o
      +
      3
      p
      2
       
      )
    • is
  • (i)
    6
  • (ii)
    2
  • (iii)
    5
  • (iv)
    4
  • (v)
    3
Question 20
20.
    • The degree of polynomial
    • (
      5
      e
      2
       
      f
      g
      +
      2
      e
      2
       
      f
      +
      6
      f
      g
      +
      2
      g
      +
      1
      )
    • is
  • (i)
    5
  • (ii)
    6
  • (iii)
    3
  • (iv)
    1
  • (v)
    4
Question 21
21.
    • The degree of polynomial
    • (
      8
      t
      3
       
      u
      3
       
      v
      2
       
      +
      4
      t
      3
       
      v
      3
       
      6
      t
      v
      +
      7
      u
      2
       
      u
      v
      2
       
      +
      9
      u
      +
      2
      v
      2
       
      )
    • is
  • (i)
    5
  • (ii)
    10
  • (iii)
    9
  • (iv)
    8
  • (v)
    7
Question 22
22.
    • The coefficient of term
    • p
    • in polynomial
    • (
      3
      p
      q
      +
      8
      p
      +
      4
      q
      5
      )
    • is
  • (i)
    7
  • (ii)
    9
  • (iii)
    5
  • (iv)
    8
  • (v)
    10
Question 23
23.
    • The coefficient of term
    • h
    • in polynomial
    • (
      9
      h
      2
       
      i
      2
       
      +
      2
      h
      2
       
      3
      h
      7
      )
    • is
  • (i)
    -4
  • (ii)
    -2
  • (iii)
    -1
  • (iv)
    -3
  • (v)
    -5
Question 24
24.
    • The coefficient of term
    • o
      2
       
      p
      2
       
    • in polynomial
    • (
      9
      o
      2
       
      p
      2
       
      +
      9
      o
      2
       
      p
      2
      o
      p
      2
       
      q
      2
       
      6
      o
      p
      2
       
      4
      o
      q
      )
    • is
  • (i)
    11
  • (ii)
    10
  • (iii)
    6
  • (iv)
    9
  • (v)
    8
Question 25
25.
    • The coefficient of term
    • v
      2
       
      w
      x
    • in polynomial
    • (
      v
      2
       
      w
      3
       
      +
      v
      2
       
      w
      2
       
      x
      3
       
      +
      2
      v
      2
       
      w
      2
       
      +
      5
      v
      2
       
      w
      x
      6
      w
      2
       
      x
      3
       
      w
      2
       
      9
      x
      2
       
      )
    • is
  • (i)
    2
  • (ii)
    4
  • (iii)
    8
  • (iv)
    6
  • (v)
    5
Question 26
26.
Which of the following algebraic expressions is a monomial?
  • (i)
    (
    9
    h
    3
     
    i
    j
    3
     
    7
    h
    2
     
    j
    2
     
    +
    8
    h
    i
    2
     
    +
    6
    i
    3
     
    j
    3
     
    )
  • (ii)
    (
    5
    h
    3
     
    i
    2
     
    j
    2
     
    5
    i
    2
     
    j
    9
    i
    j
    3
     
    3
    i
    j
    )
  • (iii)
    (
    6
    h
    3
     
    +
    4
    h
    j
    3
     
    )
  • (iv)
    (
    5
    h
    2
     
    i
    j
    2
     
    )
  • (v)
    (
    8
    h
    3
     
    i
    2
     
    j
    2
     
    4
    i
    2
     
    +
    7
    i
    )
Question 27
27.
Which of the following algebraic expressions is a binomial?
  • (i)
    (
    3
    x
    3
     
    y
    3
     
    z
    +
    6
    x
    3
     
    y
    2
     
    z
    2
     
    +
    2
    x
    2
     
    z
    3
     
    +
    4
    x
    y
    3
     
    )
  • (ii)
    (
    3
    x
    2
     
    y
    3
     
    z
    2
     
    x
    2
     
    z
    )
  • (iii)
    (
    2
    x
    3
     
    y
    3
     
    z
    3
     
    )
  • (iv)
    (
    8
    x
    3
     
    y
    2
     
    z
    3
     
    +
    x
    2
     
    y
    3
     
    z
    3
     
    6
    x
    y
    z
    2
     
    5
    z
    )
  • (v)
    (
    4
    x
    2
     
    y
    4
    x
    2
     
    +
    4
    z
    3
     
    )
Question 28
28.
Which of the following algebraic expressions is a trinomial?
  • (i)
    8
    x
    y
    3
     
    z
  • (ii)
    (
    6
    x
    3
     
    y
    2
     
    z
    3
     
    +
    9
    x
    3
     
    y
    5
    x
    3
     
    z
    3
     
    6
    z
    2
     
    )
  • (iii)
    (
    6
    x
    y
    z
    2
     
    +
    4
    y
    3
     
    z
    2
     
    +
    y
    z
    )
  • (iv)
    (
    9
    x
    3
     
    +
    5
    z
    3
     
    )
  • (v)
    (
    4
    x
    3
     
    y
    3
     
    z
    2
     
    2
    x
    2
     
    y
    2
     
    2
    x
    y
    z
    +
    7
    y
    2
     
    z
    2
     
    )
Question 29
29.
Which of the following algebraic expressions is a constant polynomial?
  • (i)
    (
    b
    2
     
    3
    b
    d
    5
    d
    3
     
    )
  • (ii)
    (
    8
    )
  • (iii)
    (
    7
    b
    3
     
    c
    2
     
    d
    2
    b
    2
     
    d
    4
    c
    d
    3
     
    +
    5
    )
  • (iv)
    (
    6
    b
    2
     
    c
    2
     
    d
    )
  • (v)
    (
    b
    2
     
    c
    3
     
    3
    b
    )
Question 30
30.
Which of the following algebraic expressions is a zero polynomial?
  • (i)
    0
  • (ii)
    (
    4
    e
    3
     
    f
    g
    )
  • (iii)
    (
    8
    e
    f
    3
     
    g
    3
     
    5
    f
    3
     
    g
    3
     
    +
    f
    )
  • (iv)
    (
    5
    e
    3
     
    f
    3
     
    g
    3
     
    7
    e
    3
     
    f
    2
     
    g
    3
     
    +
    6
    f
    2
     
    +
    5
    f
    g
    2
     
    )
  • (v)
    (
    7
    e
    3
     
    g
    2
     
    9
    )
Question 31
31.
Which of the following are true?
a)
If (x - a) is a factor of f(x), then f(a) = 0
b)
A polynomial of degree n has atmost n zeros
c)
If (x + a) is a factor of f(x), then f(a) = 0
d)
Zero of a polynomial and root of the polynomial are synonymous
e)
A linear polynomial in one variable has only one root
f)
Zero of a polynomial is the value of the variable for which the polynomial value is zero
g)
Zero of a polynomial and zero polynomial are synonymous
  • (i)
    {c,g,d}
  • (ii)
    {c,e,f}
  • (iii)
    {g,b}
  • (iv)
    {c,a}
  • (v)
    {a,b,d,e,f}
Question 32
32.
Which of the following are true?
a)
A binomial has two and only two terms
b)
    • π
    • r
      2
    • is a monomial
c)
A binomial may have degree 3
d)
Degree of zero polynomial is zero
e)
Every polynomial is a binomial
  • (i)
    {d,e,c}
  • (ii)
    {a,b,c}
  • (iii)
    {e,b}
  • (iv)
    {d,a}
  • (v)
    {d,a,b}
Question 33
33.
Which of the following are polynomials?
a)
    • x
      +
      1

      x
b)
    • (
      x
      +
      y
      )

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

      x
      2
       
  • (i)
    {e,a,c}
  • (ii)
    {b,d}
  • (iii)
    {a,c}
  • (iv)
    {b,d,c}
  • (v)
    {c,d}
Question 34
34.
Which of the following are not polynomials?
a)
    • (
      3
      x
      +
      11
      y
      )

      (
      8
      x
      4
      y
      )
b)
    • (
      3
      x
      +
      11
      y
      )
c)
    • x
      2
       
d)
    • (
      24
      x
      2
       
      +
      76
      x
      y
      44
      y
      2
       
      )
e)
    • x
      +
      1

      x
  • (i)
    {c,e,a}
  • (ii)
    {b,a}
  • (iii)
    {d,b,a}
  • (iv)
    {a,e}
  • (v)
    {c,e}
Question 35
35.
Which of the following are not polynomials?
a)
    • √x
b)
    • (
      5
      x
      8
      y
      )
c)
    • x
      2
       
d)
    • (
      2
      x
      +
      12
      y
      )
e)
    • x
      2
       
      +
      1

      x
      2
       
  • (i)
    {c,e}
  • (ii)
    {a,e}
  • (iii)
    {c,e,a}
  • (iv)
    {d,b,a}
  • (v)
    {b,a}
Question 36
36.
Which of the following are not polynomials?
a)
    • (
      45
      x
      2
       
      +
      85
      x
      y
      10
      y
      2
       
      )
b)
    • 36
      x
      2
       
c)
    • √x
d)
    • (
      9
      x
      y
      )
e)
    • (
      5
      x
      +
      10
      y
      )

      (
      9
      x
      y
      )
  • (i)
    {b,e}
  • (ii)
    {b,e,c}
  • (iii)
    {a,c}
  • (iv)
    {d,a,c}
  • (v)
    {c,e}
    Assignment Key

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