Answer: [tex]x^{3} - 3x^{2} - 64x + 192[/tex]
Step-by-step explanation:
For every root a, we can say x - a is a factor of the polynomial.
So this polynomial's factors are x - 8, x - 3, x + 8. Then we simply multiply them all together to get
(x - 8)(x - 3)(x + 8) = [tex](x^{2}-64)(x-3)[/tex] = [tex]x^{3} - 3x^{2} - 64x + 192[/tex]