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Question
Find x, if g(x) = 0 where g(x) = x3 − 2x2 − 5x + 6
Solution
g(x) = x3 − 2x2 − 5x + 6
= (x – 1) (x2 – x – 6)
= (x – 1) (x + 2) (x – 3)
g(x) = 0
∴ (x – 1) (x + 2) (x – 3) = 0
∴ x – 1 = 0 or x + 2 = 0 or x – 3 = 0
∴ x = 1, – 2, 3
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