Waec Further Mathematics Questions
Question 286:
The roots of the equation \(2x^{2} + kx + 5 = 0\) are \(\alpha\) and \(\beta\), where k is a constant. If \(\alpha^{2} + \beta^{2} = -1\), find the values of k.
- A \(\pm 16\)
- B \(\pm 8\)
- C \(\pm 4\)
- D \(\pm 2\)
Question 287:
Given that \(f '(x) = 3x^{2} - 6x + 1\) and f(3) = 5, find f(x).
- A \(f(x) = x^{3} - 3x^{2} + x + 20\)
- B \(f(x) = x^{3} - 3x^{2} + x + 31\)
- C \(f(x) = x^{3} - 3x^{2} + x + 2\)
- D \(f(x) = x^{3} - 3x^{2} + x - 13\)
Question 289:
Express \(\frac{1}{1 - \sin 45°}\) in surd form.
- A \(2 + \sqrt{2}\)
- B \(2 + \sqrt{3}\)
- C \(2 - \sqrt{2}\)
- D \(1 + 2\sqrt{2}\)
Question 290:
Evaluate \(\log_{0.25} 8\)
- A \(\frac{3}{2}\)
- B \(\frac{2}{3}\)
- C \(-\frac{2}{3}\)
- D \(-\frac{3}{2}\)