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

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

      x
d)
    • x
      2
       
e)
    • x
      2
       
      +
      1

      x
      2
       
  • (i)
    {c,d}
  • (ii)
    {c,d,b}
  • (iii)
    {b,d}
  • (iv)
    {a,b}
  • (v)
    {e,a,b}
Question 34
34.
Which of the following are not polynomials?
a)
    • x
      +
      1

      x
b)
    • (
      6
      x
      +
      9
      y
      )

      (
      4
      x
      4
      y
      )
c)
    • 9
      x
      2
       
d)
    • (
      6
      x
      +
      9
      y
      )
e)
    • (
      24
      x
      2
       
      +
      12
      x
      y
      36
      y
      2
       
      )
  • (i)
    {a,b}
  • (ii)
    {d,b,a}
  • (iii)
    {c,a}
  • (iv)
    {e,c,a}
  • (v)
    {d,b}
Question 35
35.
Which of the following are not polynomials?
a)
    • (
      7
      x
      +
      4
      y
      )
b)
    • 9
      x
      2
       
      +
      1

      9
      x
      2
       
c)
    • (
      7
      x
      11
      y
      )
d)
    • 9
      x
      2
       
e)
    • √x
  • (i)
    {c,e}
  • (ii)
    {b,e}
  • (iii)
    {c,e,b}
  • (iv)
    {a,b}
  • (v)
    {d,a,b}
Question 36
36.
Which of the following are not polynomials?
a)
    • 16
      x
      2
       
b)
    • (
      7
      x
      +
      8
      y
      )

      (
      2
      x
      8
      y
      )
c)
    • (
      14
      x
      2
       
      40
      x
      y
      64
      y
      2
       
      )
d)
    • (
      2
      x
      8
      y
      )
e)
    • √x
  • (i)
    {c,e,b}
  • (ii)
    {c,e}
  • (iii)
    {b,e}
  • (iv)
    {a,b}
  • (v)
    {d,a,b}
    Assignment Key

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