of one of the zeroes of the cubic polynomial x³+ax²+bx+c is -1, then the product of the other two zeroes is
a) b-a+1
b) b-a-1
c) a-b+1
d) a-b-1
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Answer:
ab= 0
Step-by-step explanation:
→a=α+β−1
→ b=αβ−β−α → Property
→ c=−αβ
→Also−1+a−b+c=0
→ 0−b+c=1
→ ∴−α−β+1−αβ+β+α−αβ=1
→ ∴1−2αβ=1
∴αβ=0
thank you
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