2.14: Roots and coefficients of a cubic

0606/23/O/N/19 — Question 8 · 5 marks

The roots of the equation x3+ax2+bx+24=0x^{3} + ax^{2} + bx + 24 = 0 are 2, 3 and pp, where pp is an integer.
(i)
Find the value of pp.
[1]
(ii)
Show that a=1a = -1 and find the value of bb.
[4]