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Question

Given that one of the zeroes of the cubic polynomial ax3+bx2+cx+d is zero, the product of the other two zeroes is



A

ca

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B

ca

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C

0

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D

ba

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Solution

The correct option is C

ca


Let α,β and γ are the roots of given cubic polynomial

Since one of the zeroes is zero.

Let say γ=0

Sum of the zeroes = ba

(α+β+γ)=ba

(α+β)=ba

Products of zeroes taken two at a time = ca

(αβ+αγ+βγ)=caαβ=ca

(αβ=ca


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