Solve the polynomial equation by factoring and then using the zero product principle.
-$$20 x ^ { 3 } + 100 x ^ { 2 } + 120 x = 0$$
A) $\{ 0 , - 2 , - 3 \}$
B) $\{ - 2 , - 3 \}$
C) $\{ 0,2,3 \}$
D) $\left\{ - \frac { 1 } { 2 } , - 3 \right\}$

Question

Quizplus · Accepted Answer

First, factor out the greatest common factor, which is $20x$: $20x(x^2 + 5x + 6) = 0$. Then, factor the quadratic: $20x(x+2)(x+3) = 0$. The solutions are $x = 0$, $x = -2$, and $x = -3$.

Solve the Polynomial Equation by Factoring and Then Using the Zero