find cubic polynomial with sum , sum of the product of the zero taken 2 at the same time with zero as 3 , -1 , -3
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Answer:
k(x³+x²+3x-7)
Step-by-step explanation:
∝=3 , β=-1 , ω(you think this as gamma)=-3
αβω = -d/a
α+β+ω = -b/a
αβ+βω+ωα = c/a
k(x³-(α+β+ω)x²+(αβ+βω+ωα)x-αβω) this is cubic formula
k(x³-(3-1-3)x²+(3*-1-1*-3-3*1)x-3-1-3)
k(x³+1 x²+3x-7)
k(x³+x²+3x-7)
αβω=7/1=7
αβ+βω+ωα=3
α+β+ω=-1/1=1
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