Question

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

Answer 1

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