Question

If one of the zeroes of the cubic polynomial `ax^(3)+bx^(2)+cx+d` is zero, the product of the other two zeroes is :
A. `(-c)/a`
B. `c/a`
C. 0
D. `(-b)/a`

Answer 1

Correct Answer - B
Let `alpha, beta,0` be the zeros of `ax^(3) +bx^(2) +cx+d`. Then,
sum of the products of zeros, taken two at a time is given by
`(alpha beta+beta xx 0 + alpha xx 0) = c/a rArr alpha beta = c/a.`