Cameroon gce June 2019 Advance level pure mathematics with mechanics 2

(i) The polynomial P(x) is such that P(x) s ax3 – 3×2 + bx + 6. Given that (x + 2) is a factor of P(x) and
that when P(x) is divided by (x – 1) the remainder is -6.
(a) Find, the values of the constants a and b.
(b) Hence, solve the equation P(x) = 0. (7 marks)
(ii) Two statements p and q are given by
p: Comfort studies hard,
q: She will pass the examination.
Write out the following propositions in simple English.
(b) p => q
(c) ~p=>~q
(d) ~(p=>q)

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