CBSE  /  Class 9  /  Maths  /  Polynomials

  • 1. 
    Find the product of (x - \(\frac{1}{x}\)) (x + \(\frac{1}{x}\)) (x² + \(\frac{1}{x^2}\))

  • x4 + \(\frac{1}{x^4}\)
  • x³ + \(\frac{1}{x^3}\) - 2
  • x4 - \(\frac{1}{x^4}\)
  • x² + \(\frac{1}{x^2}\) + 2

  • 2. 
    If \(\frac{x}{y}\)+ \(\frac{y}{x}\) = -1 (x, y ≠ 0), then find the value of x³ - y³

  • 1
  • -1
  • \(\frac{1}{2}\)
  • 0

  • 3. 
    Find the value of 525² - 475².

  • 100
  • 10000
  • 50000
  • 100000

  • 4. 
    One of the factors of (1 + 3y)² + (9y² - 1) is

  • 1 - 3y
  • 3 - y
  • 3y + 1
  • y - 3

  • 5. 
    One of the factors of (x³ - 1) - (x - 1) is

  • x² + 1
  • x² - 1
  • x - 1
  • x + 4

  • 6. 
    Find the degree of polynomial √2 .

  • 2
  • 0
  • 1
  • \(\frac{1}{2}\)

  • 7. 
    Find the value of k if x² + kx + 6 = (x + 2) (x + 3) for all k.

  • 1
  • -1
  • 5
  • 3

  • 8. 
    If x - 2 is a factor of 5x² - kx - 18, then find the value of k.

  • -1
  • 1
  • 0
  • 5

  • 9. 
    Find the coefficient of x² in (3x² - 5) (4 + 4x²).

  • 12
  • 5
  • -8
  • 8

  • 10. 
    Find the value of p for which x + p is a factor of x² + px + 3 - p.

  • 1
  • -1
  • 3
  • -3
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