Question

If one of zeros of cubic polynomial 3x^3+6x^2 - 9x+d is zero. Find the other zero.​

Answer 1

Step-by-step explanation:

As the polynomial is zero at x=0 so the we get d=0.

Hence the polynomial is

$3 {x}^{3} + 6 {x}^{2} - 9x \\ 3x( {x}^{2} + 2x - 3) \\ 3x( {x}^{2} - x + 3x - 3) \\ 3x(x(x - 1) + 3(x - 1)) \\ 3x(x - 1)(x + 3)$

So the other zeros of polynomial occur at x=1 and x=-3.