Question

find a cubic polgnomial whose zeros are 1,2and 3​

Answer 1

Answer:

Let α = 1, β = -2 and γ = 3

 

α + β + γ = 1 - 2 + 3 =2

αβ + βγ +γα = -2 - 6 + 3 = -5

αβγ = -6

 

Cubic polynomial is

x3 - (α + β + γ)x2 + (αβ + βγ +γα)x - αβγ.

 = x3 - 2x2 + 5x + 6

Step-by-step explanation:

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