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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 will be


Your Answer
A
ca
Correct Answer
B
ca
Your Answer
C
\N
Your Answer
D
ba

Solution

The correct option is B ca
Let α,β and γ be the three zeroes of 
p(x)=ax3+bx2+cx+d

Given that, one of the zeroes of the cubic polynomial p(x) is zero (let α=0).

We know that sum of the product of zeroes taken two at a time = ca
 αβ+βγ+γα=ca
 0+βγ+γ×0=ca 
 0+βγ+0=ca
 βγ=ca

Hence, product of the other two zeroes is ca.

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