Question

24. If one of the zeros of the cubic polynomial ar' + bx' + ex+d is then the product of the other two zeros is​

Answer 1

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)