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Question

If one of the zeros of the cubic polynomial ax3 + bx2 + cx + d is 0, then the product of the other two zeros is

(a) -ca
(b) ca
(c) 0
(d) -ba

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Solution

(b) ca Let α, β and 0 be the zeroes of ax3+bx2+cx+d.Then, sum of the products of zeroes taking two at at a time is given by (αβ+β×0+α×0)=ca =>αβ=ca The product of the other two zeroes is ca.

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