CBSE  /  Class 9  /  Maths  /  Polynomials

  • 1. 
    Zero of the polynomial p(x) = cx + d is

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

  • 2. 
    Find the remainder on dividing 5y³ - 2y² - 7y + 1 by y.

  • -1
  • 1
  • 0
  • 2

  • 3. 
    One of the factors of (16y² - 1) + (1 - 4y)²

  • (4 + a)
  • (4 - y)
  • (4y + 1)
  • 8y

  • 4. 
    If a + b + c = 0, then the value of a³ + b³ + c³

  • abc
  • -3abc
  • 0
  • 3abc

  • 5. 
    If x\(\frac{1}{3}\) + y\(\frac{1}{3}\) + z\(\frac{1}{3}\) = 0, then which one of the expression is correct.

  • x³ + y³ + z³ = 0
  • x + y + z = 3x\(\frac{1}{3}\)y\(\frac{1}{3}\)z\(\frac{1}{3}\)
  • x + y + z = 3xyz
  • x³ + y³ + z³ = 3xyz

  • 6. 
    If the area of the rectangle is 4x² + 4x - 3, then find its possible dimensions.

  • 2x - 3, 2x + 1
  • 2x - 1, 2x + 3
  • 3x + 1, 2x - 3
  • 3x - 1, 2x + 3

  • 7. 
    If x + \(\frac{1}{x}\) = 4, then the value of x² + \(\frac{1}{x^2}\)

  • 8
  • 14
  • 16
  • 20

  • 8. 
    For what value of b, is the polynomial x³ - 3x² + bx - 6 divisible by x - 3?

  • 1
  • 2
  • 3
  • -3

  • 9. 
    When p(x) is divided by ax - b, then the remainder is

  • p(a + b)
  • P(\(\frac{-b}{a}\))
  • p(\(\frac{a}{b}\))
  • p(\(\frac{b}{a}\))

  • 10. 
    What is remainder when x³ - 2x² + x + 1 is divided by x - 1?

  • 0
  • -1
  • 1
  • 2
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