Solve the polynomial equation by factoring and then using the zero product principle.
-$$x ^ { 3 } + 8 x ^ { 2 } + 15 x = 0$$
A) $\{ - 5 , - 3 \}$
B) $\{ 0,5,3 \}$
C) $\{ 0 , - 5 , - 3 \}$
D) $\{ 5,3 \}$

Question

Quizplus · Accepted Answer

First, factor out an $x$ from the polynomial: $x(x^2 + 8x + 15) = 0$. Then, factor the quadratic: $x(x + 5)(x + 3) = 0$. The solutions are $x = 0$, $x = -5$, and $x = -3$, which corresponds to choice C.

Solve the Polynomial Equation by Factoring and Then Using the Zero