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If one of the zeroes of the cubic polyno...

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)`

Text Solution

Verified by Experts

The correct Answer is:
B
Let p(x)`=ax^(3)+bx^(2)+cx+d`
Let `alpha,beta` and `gamma` be the zeroes of p(x) and `alpha`=0.
Now, `" " alpha beta+beta gamma+gamma alpha=(c )/(a)`
`implies " " 0+beta gamma+0=(c )/(a) " " (`:'` alpha=0)`
`implies " " beta gamma=(c )/(a)`
`:.` Product of other two zeroes `=(c )/(a)`.
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