write with explanation the cubic polynomial whose zeros are 3,5,2
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Answer:
the cubic polynomial is in the form ax³+bx²+cx+d=0
now sum of roots is α+β+ω=b
αβ+βω+ωα=c
αβω=d
now here α=3,β=5,ω=2
now put these values in thr equation
x³+(α+β+ω)x²+(αβ+βω+ωα)x+(αβω)=0
x³+(3+5+2)x²+(3×5 + 5×2+ 2×3)x+(3×5×2)=0
x³+10x²+31x+30+0
THIS IS THE REQUIRED EQUATION
Step-by-step explanation:
Answered by
20
a=3
b=6
c=2,
is the answer of your questions
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