Polynomials CBSE Questions & Answers

Polynomials

This is Mathematics Class 09 Polynomials CBSE Questions & Answers. There are 15 questions in this test with each question having around four answer choices.

Questions & Answers

1
A polynomial containing two nonzero terms is called a ________.
  • A
    none of these
  • B
    trinomial
  • C
    monomial
  • D
    binomial
    Correct
2
A polynomial containing three nonzero terms is called a ________.
  • A
    none of these
  • B
    monomial
  • C
    trinomial
    Correct
  • D
    binomial
3
The coefficient of \({x^3}\) in \(2x + {x^2} - 5{x^3} + {x^4}\) is
  • A
    2
  • B
    1
  • C
    -1
  • D
    -5
    Correct
4
The remainder when the polynomial \({x^4} + 2{x^3} - 3{x^2} + x - 1\) is divided by \((x - 2)\) is
  • A
    20
  • B
    19
  • C
    -21
  • D
    21
    Correct
5
If the polynomial \({x^3} - 6{x^2} + ax + 3\) leaves a remainder 7 when divided by \((x - 1)\), then the value of ‘a’ is
  • A
    7
  • B
    8
  • C
    0
  • D
    9
    Correct
6
The value of ‘a’ for which (x + a) is a factor of the polynomial \({x^3} + a{x^2} - 2x + a + 6\) is
  • A
    2
  • B
    0
  • C
    1
  • D
    -2
    Correct
7
Which of the following is a linear polynomial?
  • A
    \(x + {x^2}\)
  • B
    \(x + 1\)
    Correct
  • C
    \(5{x^2} - x + 3\)
  • D
    \(x + {1 \over x}\)
8
If \(p(x) = {x^2} - 2\sqrt 2 x + 1\), then \(p(2\sqrt 2 ) = \)
  • A
    0
  • B
    1
    Correct
  • C
    \(2\sqrt 2 \)
  • D
    -1
9
If \({x^2} + kx - 3 = (x - 3)(x + 1)\), then the value of ‘k’ is
  • A
    -2
    Correct
  • B
    3
  • C
    -3
  • D
    2
10
If \(x + 1\) is a factor of \(2{x^2} + kx\), then k =
  • A
    -2
  • B
    3
  • C
    2
    Correct
  • D
    4
11
When \(p(x) = {x^3} + a{x^2} + 2x + a\) is divided by \(x + a\), the remainder is
  • A
    1
  • B
    a
  • C
    0
  • D
    -a
    Correct
12
\(x + 1\) is a factor of the polynomial
  • A
    \({x^3} + 2{x^2} + x - 2\)
  • B
    \({x^3} + 2{x^2} - x + 2\)
  • C
    \({x^3} + 2{x^2} - x - 2\)
    Correct
  • D
    \({x^3} - 2{x^2} + x + 2\)
13
The coefficient of ‘x’ in the expansion of \({(x + 3)^3}\) is
  • A
    18
  • B
    27
    Correct
  • C
    1
  • D
    9
14
If \(a + b + c = 0\), then \(\left( {{{{a^2}} \over {bc}} + {{{b^2}} \over {ca}} + {{{c^2}} \over {ab}}} \right) = \)
  • A
    3
    Correct
  • B
    1
  • C
    0
  • D
    2
15
If \(x + y + z = 9\) and \(xy + yz + zx = 23\), then the value of \({x^3} + {y^3} + {z^3} - 3xyz\) is
  • A
    180
  • B
    108
    Correct
  • C
    144
  • D
    209