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Question
Find a cubic polynomial whose zeroes are 2, –3 and 4.
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Solution
If the zeroes of the cubic polynomial are a, b and c then the cubic polynomial can be found as
x3 – (a + b + c)x2 + (ab + bc + ca)x – abc ...(1)
Let a = 2, b = –3 and c = 4
Substituting the values in 1, we get
x3 – (2 – 3 + 4)x2 + (– 6 – 12 + 8)x – (–24)
⇒ x3 – 3x2 – 10x + 24
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