If alpha and beta are the zeroes of the quadratic polynomial p(x)=ax2+bx+c then evaluate alpha^2betq+alpha beta^2
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Answer:
p(x)=ax2+bx+c
α+β=-b/a
αβ=c/a
α^2β+αβ^2=αβ(α+β)
=c/a(-b/a)
=(-bc)/(a^2)
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