Solve the polynomial equation by factoring.
-$$x ^ { 3 } - 5 x ^ { 2 } + 6 x = 0$$
A) $- 3 , - 2$
B) $0 , - 3 , - 2$
C) $0,3,2$
D) 3,2

Name: Solve the polynomial equation by factoring. -\[x ^ { 3 } - 5 x ^ { 2 } + 6 x = 0\] A) $- 3 , - 2$ B) $0 , - 3 , - 2$ C) $0,3,2$ D) 3,2
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Question

Quizplus · Accepted Answer

First, factor out an $x$ to get $x(x^2 - 5x + 6) = 0$. Then, factor the quadratic to get $x(x - 3)(x - 2) = 0$. The solutions are $x = 0$, $x = 3$, and $x = 2$.

Solve the Polynomial Equation by Factoring x3−5x2+6x=0x ^ { 3 } - 5 x ^ { 2 } + 6 x = 0x3−5x2+6x=0

Solve the Polynomial Equation by Factoring $x ^ { 3 } - 5 x ^ { 2 } + 6 x = 0$