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Question

If the sum of two of the roots of x3+px2+qx+r=0 is zero, then pq=

A
r
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B
2r
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C
2r
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D
r
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Solution

The correct option is D r
Let α,β and γ be the roots of the equation x3+px2+qx+r=0
Given that, α+β=0
We have α+β+γ=p
Thus γ=p
Substituting γ=p in the given equation,
p3+p3pq+r=0
pq=r

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