Solve the equation below by factoring. x 3 + 5 x 2 − 36 x = 0 x ^ { 3 } + 5 x ^ { 2 } - 36 x = 0 x 3 + 5 x 2 − 36 x = 0 A) x = 4 x = 4 x = 4 and x = 9 x = 9 x = 9 B) x = − 9 x = - 9 x = − 9 , x = 0 x = 0 x = 0 and x = 4 x = 4 x = 4 C) x = − 4 x = - 4 x = − 4 , x = 0 x = 0 x = 0 and x = 9 x = 9 x = 9 D) x = − 9 x = - 9 x = − 9 , x = − 4 x = - 4 x = − 4 and x = 0 x = 0 x = 0 E) x = 0 x = 0 x = 0 , x = 4 x = 4 x = 4 and x = 9 x = 9 x = 9

Question

Solve the equation below by factoring.   x 3 + 5 x 2 − 36 x = 0 x ^ { 3 } + 5 x ^ { 2 } - 36 x = 0 x 3 + 5 x 2 − 36 x = 0 A)    x = 4 x = 4 x = 4   and   x = 9 x = 9 x = 9 B)    x = − 9 x = - 9 x = − 9   ,   x = 0 x = 0 x = 0   and   x = 4 x = 4 x = 4 C)    x = − 4 x = - 4 x = − 4   ,   x = 0 x = 0 x = 0   and   x = 9 x = 9 x = 9 D)    x = − 9 x = - 9 x = − 9   ,   x = − 4 x = - 4 x = − 4   and   x = 0 x = 0 x = 0 E)    x = 0 x = 0 x = 0   ,   x = 4 x = 4 x = 4   and   x = 9 x = 9 x = 9

Angie Williams · Accepted Answer

Final Answer : B, Explanation :   First, factor out an   x x x  , getting   x ( x 2 + 5 x − 36 ) = 0 x(x^2 + 5x - 36) = 0 x ( x 2 + 5 x − 36 ) = 0  . Then, factor the quadratic to get   x ( x + 9 ) ( x − 4 ) = 0 x(x + 9)(x - 4) = 0 x ( x + 9 ) ( x − 4 ) = 0  . The solutions are   x = 0 x = 0 x = 0  ,   x = − 9 x = -9 x = − 9  , and   x = 4 x = 4 x = 4  .

Solve the equation below by factoring. $x ^ { 3 } + 5 x ^ { 2 } - 36 x = 0$

A) $x = 4$ and $x = 9$
B) $x = - 9$ , $x = 0$ and $x = 4$
C) $x = - 4$ , $x = 0$ and $x = 9$
D) $x = - 9$ , $x = - 4$ and $x = 0$
E) $x = 0$ , $x = 4$ and $x = 9$

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