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
The expanded form of \({(3x - 5)^3}\) is
  • A
    none of these
  • B
    \(27{x^3} + 135{x^2} + 225x - 125\)
  • C
    \(27{x^3} + 135{x^2} - 225x - 125\)
  • D
    \(27{x^3} - 135{x^2} + 225x - 125\)
    Correct
2
The zero of the polynomial \({(x - 2)^2} - {(x + 2)^2}\) is
  • A
    2
  • B
    1
  • C
    0
    Correct
  • D
    -2
3
If both \(x - 2\) and \(x - {1 \over 2}\) are the factors of\(p{x^2} + 5x + r\), then
  • A
    p = r
    Correct
  • B
    p = 2r
  • C
    none of these
  • D
    2p = r
4
The remainder obtained when the polynomial p(x) is divided by (b – ax) is
  • A
    \(p\left( {{b \over a}} \right)\)
    Correct
  • B
    \(p\left( {{{ - a} \over b}} \right)\)
  • C
    \(p\left( {{a \over b}} \right)\)
  • D
    \(p\left( {{{ - b} \over a}} \right)\)
5
The value of \(\left( {x - {1 \over x}} \right)\left( {x + {1 \over x}} \right)\left( {{x^2} + {1 \over {{x^2}}}} \right)\) is
  • A
    \({x^4} + {1 \over {{x^4}}}\)
  • B
    \({x^3} - {1 \over {{x^3}}} + 2\)
  • C
    \({x^4} - {1 \over {{x^4}}}\)
    Correct
  • D
    \({x^2} + {1 \over {{x^2}}} - 2\)
6
Which of the following polynomials has (-3) as a zero?
  • A
    \({x^2} + 3\)
  • B
    (x – 3)
    Correct
  • C
    \({x^2} - 3x\)
  • D
    \({x^2} - 9\)
7
The factors of \({x^2} - 9\) is
  • A
    \(2a \times b \times 2c\)
  • B
    \(6(2a - b)(b - 2c)(c - a)\)
    Correct
  • C
    \((2a - b)(b - 2c)(c - a)\)
  • D
    \(3(2a - b)(b - 2c)(c - a)\)
8
The coefficient of \({x^2}\) in \((2 - 3{x^2})({x^2} - 5)\) is
  • A
    1
  • B
    17
    Correct
  • C
    -17
  • D
    -10
9
The maximum number of terms in a polynomial of degree 10 is
  • A
    10
  • B
    12
  • C
    none of these
  • D
    11
    Correct
10
If \(x + y = 8\) and \(xy = 15\), then \({x^2} + {y^2}\)
  • A
    32
  • B
    34
    Correct
  • C
    36
  • D
    1
11
The value of \({{{{(0.87)}^3} + {{(0.13)}^3}} \over {{{(0.87)}^2} - (0.87 \times 0.13) + {{(0.13)}^2}}}\) is
  • A
    0.87
  • B
    1
    Correct
  • C
    0.13
  • D
    0
12
If \({x^2} + {1 \over {{x^2}}} = 38\), then the value of \(x - {1 \over x}\) is
  • A
    6
    Correct
  • B
    5
  • C
    3
  • D
    4
13
If \(x + {1 \over x} = 3\) , then the value of \({x^2} + {1 \over {{x^2}}}\) is
  • A
    9
  • B
    0
  • C
    7
    Correct
  • D
    1
14
The value of \({x^3} - 8{y^3} - 36xy - 216\), when \(x = 2y + 6\) is
  • A
    0
    Correct
  • B
    3
  • C
    1
  • D
    2
15
If both (x + 2) and (2x + 1) are factors of \(a{x^2} + 2x + b\), then the value of \(a - b\) is
  • A
    -1
  • B
    2
  • C
    0
    Correct
  • D
    1