Solve the equation. $x ^ { 3 } - 11 x ^ { 2 } + 30 x = 0$
A)1, 6 , 5
B)0, 6, 5
C)6 , 5
D)-6, -5
E)0, -6 , -5

Name: Solve the equation. $x ^ { 3 } - 11 x ^ { 2 } + 30 x = 0$ A)1, 6 , 5 B)0, 6, 5 C)6 , 5 D)-6, -5 E)0, -6 , -5
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Question

Quizplus · Accepted Answer

We can factor out an x to get 
$x(x^2-11x+30)=0$
Then we can factor the quadratic inside the parentheses to get 
$x(x-6)(x-5)=0$
Therefore the solutions are x=0, x=6, and x=5. Option B contains all three of these solutions.

Solve the Equation x3−11x2+30x=0x ^ { 3 } - 11 x ^ { 2 } + 30 x = 0x3−11x2+30x=0

Solve the Equation $x ^ { 3 } - 11 x ^ { 2 } + 30 x = 0$