Question

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

Answer 1

Answer:

ax3+bx2+cx+d=0

Let α, β and ɣ be the roots of the cubic polynomial.

Given,

(α + β + ɣ) = 3

(αβ+ βɣ + ɣα) = 4

and (αβɣ) = – 2  

The cubic polynomial with roots α, β and ɣ is x3 – (α + β + ɣ)x2 + (αβ+ βɣ + ɣα)x – (αβɣ)  

= x3 – (3)x2 + (4)x – (– 2)

= x3 – 3x2 + 4x + 2 ,

which is the required cubic polynomial.

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Answer 2

Explanation:

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