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Further Mathematics 2010 WAEC Past Questions

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6

The coefficient of the 7th term in the binomial expansion of \((2 - \frac{x}{3})^{10}\) in ascending powers of x is

  • A. \(\frac{560}{243}\)
  • B. \(\frac{841}{243}\)
  • C. \(\frac{1120}{243}\)
  • D. \(\frac{4481}{243}\)
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7

The roots of a quadratic equation are \((3 - \sqrt{3})\) and \((3 + \sqrt{3})\). Find its equation.

  • A. \(x^{2} - 6x - 9 = 0\)
  • B. \(x^{2} - 6x + 6 = 0\)
  • C. \(x^{2} + 6x - 9 = 0\)
  • D. \(x^{2} + 6x + 6 = 0\)
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8

If (x - 3) is a factor of \(2x^{2} - 2x + p\), find the value of constant p.

  • A. -12
  • B. -6
  • C. 3
  • D. 6
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9

If \(\sin x = -\sin 70°, 0° < x < 360°\), determine the two possible values of x.

  • A. 110°, 250°
  • B. 110°, 290°
  • C. 200°, 250°
  • D. 250°, 290°
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10

For what values of x is \(\frac{x^{2} - 9x + 18}{x^{2} + 2x - 35}\) undefined?

  • A. 6 or 3
  • B. -18 or -9
  • C. -7 or 5
  • D. -5 or 7
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