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Question 5
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
(b)ca
(c)0
(d)ba
 


Solution

Let α,β and γ are the zeros of  p(x)=ax3+bx2+cx+d
Given that, one of the zeroes of the cubic polynomial p(x) is zero (α=0).
We know that,
Sum of 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 other two zeroes = ca
So option B is correct. 

Mathematics

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