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
If \(a + b + c = 0\), then \({a^3} + {b^3} + {c^3}\) is equal to
  • A
    2abc
  • B
    abc
  • C
    1
  • D
    3abc
    Correct
2
(x + 1) is a factor of the polynomial
  • A
    \({x^4} + 3{x^3} + 3{x^2} + x + 1\)
  • B
    \({x^3} + {x^2} - x + 1\)
  • C
    \({x^3} + {x^2} + x + 1\)
    Correct
  • D
    \({x^4} + {x^3} + {x^2} + 1\)
3
If \(10x - 4{x^2} - 3\), then the value of \(p(0) + p(1)\) is
  • A
    1
  • B
    -3
  • C
    0
    Correct
  • D
    3
4
If \({x^2} + kx + 6 = (x + 2)(x + 3)\), then the value of ‘k’ is
  • A
    1
  • B
    3
  • C
    0
  • D
    5
    Correct
5
One of the factors of \((16{y^2} - 1) + {(1 - 4y)^2}\) is
  • A
    (4 – y)
  • B
    8y
    Correct
  • C
    (4y + 1)
  • D
    (4 + y)
6
The remainder when \({x^{31}} - 31\) is divided by \(x + 1\) is
  • A
    0
  • B
    30
  • C
    -32
    Correct
  • D
    31
7
If \(p(x) = {x^3} - {x^2} + x + 1\), then the value of \({{p( - 1) + p(1)} \over 2}\) is
  • A
    1
  • B
    0
    Correct
  • C
    3
  • D
    2
8
8 is a polynomial of degree
  • A
    none of these
  • B
    0
    Correct
  • C
    1
  • D
    8
9
Which of the following is a polynomial in one variable?
  • A
    \({x^2} + {x^{ - 2}}\)
  • B
    \(\sqrt {2x} + 9\)
  • C
    \({x^5} + {y^8} + 9\)
  • D
    \(\sqrt 2 - {x^2} + 3x\)
    Correct
10
Which of the following statement is false?
  • A
    The zero of a zero polynomial is not defined.
  • B
    The degree of a zero polynomial is zero.
  • C
    The degree of a zero polynomial is not defined.
    Correct
  • D
    The degree of a constant polynomial is not defined.
11
A symbol having a fixed value is called a ______.
  • A
    none of these
  • B
    constant
    Correct
  • C
    coefficient
  • D
    variable
12
A polynomial of degree ____ is called a quadratic polynomial.
  • A
    0
  • B
    3
  • C
    2
    Correct
  • D
    1
13
A polynomial of degree ____ is called a cubic polynomial.
  • A
    0
  • B
    2
  • C
    3
    Correct
  • D
    1
14
A polynomial of degree ____ is called a linear polynomial.
  • A
    2
  • B
    1
    Correct
  • C
    0
  • D
    3
15
A polynomial containing one nonzero term is called a ________.
  • A
    monomial
    Correct
  • B
    none of these
  • C
    binomial
  • D
    trinomial