Question
If α,β and γ are the zeroes of the polynomial f(x)=ax3+bx2+cx+d, then 1α+1β+1γ is _____.
Answer: Option C
:
C
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:
C
Given α,β and γ are the zeroes of the polynomial f(x)=ax3+bx2+cx+d
1α+1β+1γ
=βγ+αγ+αβ(αβγ) =(ca)(−da) =−cd
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