1.

Find a cubic polynomial whose zeroes are 2, -3 and 4.

Answer»

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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