Waec Further Mathematics Past Questions
Question 36
If \((2x^{2} - x - 3)\) is a factor of \(f(x) = 2x^{3} - 5x^{2} - x + 6\), find the other factor
- A. (x - 2)
- B. (x - 1)
- C. (x + 1)
- D. (x + \(\frac{3}{2}\))
Question 37
If P = \({n^{2} + 1: n = 0,2,3}\) and Q = \({n + 1: n = 2,3,5}\), find P\(\cap\) Q.
- A. {5, 10}
- B. {4, 6}
- C. {1, 3}
- D. { }
Question 38
Given that \(f(x) = 2x^{2} - 3\) and \(g(x) = x + 1\) where \(x \in R\). Find g o f(x).
- A. \(2(x^{2} - 1)\)
- B. \(2x^{2} + 4x - 1\)
- C. \(2x^{2} + 6x - 1\)
- D. \(3(x^{2} - 1)\)
Question 39
The velocity, V, of a particle after t seconds, is \(V = 3t^{2} + 2t - 1\). Find the acceleration of the particle after 2 seconds.
- A. 10\(ms^{-2}\)
- B. 12\(ms^{-2}\)
- C. 14\(ms^{-2}\)
- D. 17\(ms^{-2}\)
Question 40
Find the magnitude and direction of the vector \(p = (5i - 12j)\)
- A. (13, 113.38°)
- B. (13, 067.38°)
- C. (13, 025.38°)
- D. (13, 157.38°)
