1. Find the value of c in the expression 𝑥 3 − 𝑐𝑥 3 − 𝑥 − 2, given that 𝑥 + 2 is a factor of the
expression. Hence find the other factors of the expression. [4]
2. The expression 𝑓(𝑥) = 𝑐𝑥 3 + 8𝑥 3 + 𝑑𝑥 + 6 is exactly divisible by 𝑥 2 − 2𝑥 − 3.
a) Find the value of c and d [4]
b) Find the remaining factor of the expression. [2]
c) If 𝑓(𝑥) is not divisible by 𝑥 + 2, find the remainder. [2]
3.
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