Further Mathematics 2009 Waec Past Questions and Answers

Question 16 :

• WAEC 2009

The roots of a quadratic equation are -3 and 1. Find its equation.

A. \(x^{2} - 3x + 1 = 0\)
B. \(x^{2} - 2x + 1 = 0\)
C. \(x^{2} + 2x - 3 = 0\)
D. \(x^{2} + x - 3 = 0\)

Question 17 :

• WAEC 2009

The derivative of a function f with respect to x is given by \(f'(x) = 3x^{2} - \frac{4}{x^{5}}\). If \(f(1) = 4\), find f(x).

A. \(f(x) = x^{3} - \frac{1}{x^{4}} + 2\)
B. \(f(x) = x^{3} + \frac{1}{x^{4}} + 2\)
C. \(f(x) = x^{3} - \frac{1}{x^{4}} - 2 \)
D. \(f(x) = x^{3} + \frac{1}{x^{4}} - 2\)

Question 18 :

• WAEC 2009

Simplify \((216)^{-\frac{2}{3}} \times (0.16)^{-\frac{3}{2}}\)

A. \(\frac{125}{288}\)
B. \(\frac{2}{125}\)
C. \(\frac{4}{225}\)
D. \(\frac{2}{225}\)

Question 19 :

• WAEC 2009

Given that \(\log_{3}(x - y) = 1\) and \(\log_{3}(2x + y) = 2\), find the value of x.

A. 1
B. 2
C. 3
D. 4

Question 20 :

• WAEC 2009

If \(\frac{^{8}P_{x}}{^{8}C_{x}} = 6\), find the value of x.

A. 1
B. 2
C. 3
D. 6