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Q.

Given that one of the zeroes of the cubic polynomial ax3+bx2+cx+d  is zero, find the product of the other two zeroes.

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a

-ba

b

0

c

-ca

d

ca

answer is B.

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Detailed Solution

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For the given expression, ax3+bx2+cx+d 

0 is the zero of this expression implies d = 0. 

Hence, the expression can be written as: x(ax2+bx+c) 

The other two roots will be from: ax2+bx+c

We know that the product of the roots of the quadratic polynomial ax2+bx+c is ca

Therefore, we can say that the product of the other roots of the polynomial ax3+bx2+cx+d is ca.

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