Waec Further Mathematics Past Questions and Answers

Question 151:

• WAEC 2015

Which of the following is a factor of the polynomial \(6x^{4} + 2x^{3} + 15x + 5\)?

A. 3x + 1
B. X + 1
C. 2x + 1
D. X + 2

Question 152:

• WAEC 2015

Given that \(f : x \to \frac{2x - 1}{x + 2}, x \neq -2\), find \(f^{-1}\), the inverse of f.

A. \(f^{-1} : x \to \frac{1+2x}{2-x}, x \neq 2\)
B. \(f^{-1} : x \to \frac{1-2x}{x+2}, x \neq -2\)
C. \(f^{-1} : x \to \frac{1-2x}{x-2}, x \neq 2\)
D. \(f^{-1} : x \to \frac{1+2x}{x+2}, x \neq -2\)

Question 153:

• WAEC 2015

Simplify \(\frac{1 - 2\sqrt{5}}{2 + 3\sqrt{2}}\).

A. \(14(2\sqrt{2} + 6\sqrt{5} - 4\sqrt{10})\)
B. \(\frac{1}{14}(2 - 3\sqrt{2} - 4\sqrt{5} - 6\sqrt{10})\)
C. \(\frac{1}{14}(3\sqrt{2} + 4\sqrt{5} - 6\sqrt{10} - 2)\)
D. \(14(2 + 3\sqrt{2} - 6\sqrt{5} + 4\sqrt{10})\)

Question 154:

• WAEC 2015

Solve: \(2\cos x - 1 = 0\).

A. \((\frac{2\pi}{3}, \frac{4\pi}{3})\)
B. \((\frac{\pi}{6}, \frac{5\pi}{6})\)
C. \((\frac{\pi}{5}, \frac{2\pi}{5})\)
D. \((\frac{\pi}{3}, \frac{5\pi}{3})\)

Question 155:

• WAEC 2015

Solve: \(4(2^{x^2}) = 8^{x}\)

A. (1, 2)
B. (1, -2)
C. (-1, 2)
D. (-1, -2)