Further Mathematics Past Questions and Answers

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

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

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

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

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