24. If one of the zeros of the cubic polynomial ar' + bx' + ex+d is then the product of the other two zeros is
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As one of the zeros of polynomial is 0, then (x-0) =x is a factor of given polynomial.
Since x is a factor , d= 0
ax+bx+ex+d = ax+bx+ex
= x(ax+bx+e)
Other two roots are roots of
ax+bx+e= 0
For a quadratic equation ax+bx+e = 0
Product of roots = e/a
Sum of roots = -b/a
So
Product of other two roots = (e/a ),(-b/a)
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