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Question

If α,β are the roots of ax2+bx+c=0, then αβ2+α2β+αβ=

A
c(ab)a2
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B
0
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C
bca2
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D
bca
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Solution

The correct option is A c(ab)a2
Sum of roots: α+β=ba

Product of roots: αβ=ca

αβ2+α2β+αβ=αβ(α+β)+αβ

=ca(ba)+ca

=c(ab)a2

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