Question

Please answer as soon as possible​

Answer 1

Answer:

Step-by-step explanation:

If a cubic polynomial is in the form of = $ax^{3} +bx^{2} +cx+d$ having zeros as ''α,β,ω''

Then the relation between the zeros are as followed-:

• α+β+ω = -b/a
• αβ+βω+αω = c/a
• αβω = -d/a

In this question -:

there is no term of bx², hence

α+β+ω = -b/a =0

αβω = -d/a = 3

we also know that  α+β+ω = 0 then α³+β³+ω³ = 3αβω

Therefor-:

α³+β³+ω³ = 3(3) = 9    [Answer option 'c']