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

A
ca
B
ca
C
\N
D
ba

Solution

## The correct option is B caLet 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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