Question

what are the real or imaginary solutions of the polynomial equation x^3-216=0

Answer 1

Write 216 as 6^3 and use the following identity to factor:
\[\Large a ^{3} - b ^{3} = (a - b)(a ^{2} + ab + b ^{2})\]

Answer 2

x^3-216=0

(x - 6) (x² + 6x + 36) = 0

Apply Zero Product Property

x - 6 = 0 or (x² + 6x + 36) = 0



Hint: Use the Quadratic Formula to solve for x in (x² + 6x + 36) = 0

@steph19745