Further Mathematics Past Questions and Answers

If \((2x^{2} - x - 3)\) is a factor of \(f(x) = 2x^{3} - 5x^{2} - x + 6\), find the other factor

If P = \({n^{2} + 1: n = 0,2,3}\) and Q = \({n + 1: n = 2,3,5}\), find P\(\cap\) Q.

Face	1	2	3	4	5	6
Frequency	12	18	y	30	2y	45

Given the table above as the results of tossing a fair die 150 times. Find the probability of obtaining a 5.

Face	1	2	3	4	5	6
Frequency	12	18	y	30	2y	45

Given the table above as the result of tossing a fair die 150 times, find the mode.

Given that a = 5i + 4j and b = 3i + 7j, evaluate (3a - 8b).