CBSE  /  Class 10  /  Maths  /  Polynomials

  • 1. 
    If α, β, γ are the zeroes of the cubic polynomial ax³ + bx² + cx + d then αβ + βγ + αγ is equal to

  • \(\frac{-b}{a}\)
  • \(\frac{b}{a}\)
  • \(\frac{c}{a}\)
  • \(\frac{d}{a}\)

  • 2. 
    If the zeroes of the polynomial x³ - 3x² + x - 1 are \(\frac{s}{t}\), s and st then value of s is

  • 1
  • -1
  • 2
  • -3

  • 3. 
    If the sum of the zeroes of the polynomial f(x) = 2x³ - 3kx² + 4x - 5 is 6, then the value of k is

  • 2
  • 4
  • -2
  • -4

  • 4. 
    If a polynomial of degree 4 is divided by quadratic polynomial, the degree of the remainder is

  • ≤ 1
  • ≥ 1
  • 2
  • 4

  • 5. 
    If a - b, a and a + b are zeroes of the polynomial fix) = 2x³ - 6x² + 5x - 7, then value of a is

  • 1
  • 2
  • -5
  • 7

  • 6. 
    Dividend is equal to

  • divisor × quotient + remainder
  • divisior × quotient
  • divisior × quotient - remainder
  • divisor × quotient × remainder

  • 7. 
    A quadratic polynomial whose sum of the zeroes is 2 and product is 1 is given by

  • x² - 2x + 1
  • x² + 2x + 1
  • x² + 2x - 1
  • x² - 2x - 1

  • 8. 
    If one of the zeroes of a quadratic polynomial ax² + bx + c is 0, then the other zero is

  • \(\frac{-b}{a}\)
  • 0
  • \(\frac{b}{a}\)
  • \(\frac{-c}{a}\)

  • 9. 
    The sum and the product of the zeroes of polynomial 6x² - 5 respectively are

  • 0, \(\frac{-6}{5}\)
  • 0, \(\frac{6}{5}\)
  • 0, \(\frac{5}{6}\)
  • 0, \(\frac{-5}{6}\)

  • 10. 
    What should be subtracted from x³ - 2x² + 4x + 1 to get 1?

  • x³ - 2x² + 4x
  • x³ - 2x² + 4 + 1
  • -1
  • 1
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