Question

what are the real and complex solutions of the polynomial equation x^3-216=0

Answer 1

this is the difference of 2 cubes. The standard form is

\[a^3 - b^3 = (a - b)(a^2 + ab + b^2)\]

you need to identify a and b from your question and substitute them.

you will have a linear factor so it is easy to find the zero or root.

the quadratic factor needs the general quadratic formula.

hope it helps