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