Solve the cubic equation using factoring and the quadratic formula.
-$$\mathrm { x } ^ { 3 } + 64 = 0$$
A) $\{ - 4,2 \pm 2 \mathrm { i } \sqrt { 3 } \}$
B) $\{ - 4 , - 2 \pm 2 \mathrm { i } \sqrt { 6 } \}$
C) $\{ - 4 , - 2 \pm 2 i \}$
D) $\{ - 4,2 \pm 2 \mathrm { i } \sqrt { 5 } \}$

Question

Quizplus · Accepted Answer

First, factor the equation as $x^3 = -64$, which gives $x = -4$ as one real root. Then, use the factor theorem to find the other factors, leading to a quadratic equation whose solutions are $2 \pm 2i\sqrt{3}$.

Solve the Cubic Equation Using Factoring and the Quadratic Formula x3+64=0\mathrm { x } ^ { 3 } + 64 = 0x3+64=0

Solve the Cubic Equation Using Factoring and the Quadratic Formula $\mathrm { x } ^ { 3 } + 64 = 0$