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
\(\sqrt 2 \) is a polynomial of degree
  • A
    2
  • B
    1
  • C
    \(\sqrt 2 \)
  • D
    0
    Correct
2
The degree of the polynomial \(4{x^4} + 0{x^3} + 0{x^5} + 5x + 7\) is
  • A
    4
    Correct
  • B
    7
  • C
    5
  • D
    6
3
The degree of the zero polynomial is
  • A
    not defined
    Correct
  • B
    1
  • C
    0
  • D
    any natural number
4
The value of the polynomial \(5x - 4{x^2} + 3\), when \(x = - 1\) is
  • A
    6
  • B
    1
  • C
    -1
  • D
    -6
    Correct
5
If p(x) = x + 3, then p(x) + p(-x) is equal to
  • A
    0
  • B
    3
  • C
    6
    Correct
  • D
    2x
6
Which one of the following is a polynomial?
  • A
    \({x^2} + {{3{x^{{3 \over 2}}}} \over {\sqrt x }}\)
    Correct
  • B
    \(\sqrt {2x} - 1\)
  • C
    \({{{x^2}} \over 2} - {2 \over {{x^2}}}\)
  • D
    \({{x - 1} \over {x + 1}}\)
7
The zero of the polynomial p(x) = 5x – 2 is
  • A
    \({{ - 5} \over 2}\)
  • B
    \({5 \over 2}\)
  • C
    \({2 \over 5}\)
    Correct
  • D
    \({{ - 2} \over 5}\)
8
One of the zeroes of the polynomial 2 \({{\rm{x}}^{\rm{2}}}\) + 7x – 4 is
  • A
    -2
  • B
    \({{ - 1} \over 2}\)
  • C
    \({1 \over 2}\)
    Correct
  • D
    2
9
If \({x^{51}} + 51\) is divided by \(x + 1\), then the remainder is
  • A
    50
    Correct
  • B
    1
  • C
    0
  • D
    51
10
If\(x + 1\) is a factor of the polynomial \(2{x^2} + kx + 1\), then the value of ‘k’ is
  • A
    3
    Correct
  • B
    -3
  • C
    -2
  • D
    2
11
The value of \({249^2} - {248^2}\) is
  • A
    1
  • B
    249
  • C
    248
  • D
    497
    Correct
12
The factorization of \(9{x^2} - 3x - 9\) is
  • A
    (3x – 4)(3x – 5)
  • B
    (3x + 4)(3x + 5)
  • C
    (3x + 4)(3x – 5)
    Correct
  • D
    (3x – 4)(3x + 5)
13
The coefficient of \({{\rm{x}}^{\rm{2}}}\) in the expansion of \({\left( {{\rm{x }} + {\rm{ 3}}} \right)^{\rm{4}}}\) is
  • A
    3
  • B
    1
  • C
    27
  • D
    9
    Correct
14
If \({x \over y} + {y \over x} = - 1\) ( x, y \( \ne \) 0), the value of \({x^3} - {y^3}\) is
  • A
    1
  • B
    -1
  • C
    0
    Correct
  • D
    2
15
If \(49{x^2} - k = \left( {7x + {1 \over 3}} \right)\left( {7x - {1 \over 3}} \right)\), then the value of ‘k’ is
  • A
    \({1 \over 3}\)
  • B
    \({1 \over 9}\)
    Correct
  • C
    \({{ - 1} \over 9}\)
  • D
    \({{ - 1} \over 3}\)