Use the Zero-Factor Property to solve the equation below. ( x + 5 ) ( 8 x − 1 ) ( x − 4 ) = 0 ( x + 5 ) ( 8 x - 1 ) ( x - 4 ) = 0 ( x + 5 ) ( 8 x − 1 ) ( x − 4 ) = 0 A) x = 5 , x = − 1 8 , and x = 4 x = 5 , x = - \frac { 1 } { 8 } , ext { and } x = 4 x = 5 , x = − 8 1 , and x = 4 B) x = − 5 , x = − 1 8 , and x = − 4 x = - 5 , x = - \frac { 1 } { 8 } , ext { and } x = - 4 x = − 5 , x = − 8 1 , and x = − 4 C) x = − 5 , x = 1 8 , and x = 4 x = - 5 , x = \frac { 1 } { 8 } , ext { and } x = 4 x = − 5 , x = 8 1 , and x = 4 D) x = 5 , x = 1 8 , and x = 4 x = 5 , x = \frac { 1 } { 8 } , ext { and } x = 4 x = 5 , x = 8 1 , and x = 4 E) x = − 5 , x = − 1 8 , and x = 4 x = - 5 , x = - \frac { 1 } { 8 } , ext { and } x = 4 x = − 5 , x = − 8 1 , and x = 4

Question

Use the Zero-Factor Property to solve the equation below.   ( x + 5 )  ( 8 x − 1 )  ( x − 4 )  = 0 ( x + 5 )  ( 8 x - 1 )  ( x - 4 )  = 0 ( x + 5 )  ( 8 x − 1 )  ( x − 4 )  = 0 A)    x = 5 , x = − 1 8 ,  and  x = 4 x = 5 , x = - \frac { 1 } { 8 } , 	ext { and } x = 4 x = 5 , x = − 8 1 ​ ,  and  x = 4 B)    x = − 5 , x = − 1 8 ,  and  x = − 4 x = - 5 , x = - \frac { 1 } { 8 } , 	ext { and } x = - 4 x = − 5 , x = − 8 1 ​ ,  and  x = − 4 C)    x = − 5 , x = 1 8 ,  and  x = 4 x = - 5 , x = \frac { 1 } { 8 } , 	ext { and } x = 4 x = − 5 , x = 8 1 ​ ,  and  x = 4 D)    x = 5 , x = 1 8 ,  and  x = 4 x = 5 , x = \frac { 1 } { 8 } , 	ext { and } x = 4 x = 5 , x = 8 1 ​ ,  and  x = 4 E)    x = − 5 , x = − 1 8 ,  and  x = 4 x = - 5 , x = - \frac { 1 } { 8 } , 	ext { and } x = 4 x = − 5 , x = − 8 1 ​ ,  and  x = 4

Janette Marte · Accepted Answer

Final Answer : C, Explanation :   The Zero-Factor Property states that if a product of factors equals zero, then at least one of the factors must be zero. Solving each factor set to zero gives   x = − 5 x = -5 x = − 5  ,   x = 1 8 x = \frac{1}{8} x = 8 1 ​  , and   x = 4 x = 4 x = 4  .

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