Question Zavier, Boaz, and Sophie are trying to find the values of x that make the following quadratic function equal 0: x(x+2)=0 . Each student came up with a different answer, which they explained in the options. Which student’s explanation is correct? Option #1: Zavier says that only x=−2 will make the function equal 0, and he provided the given work: −2⋅(−2+2)=−2⋅(0)=0 . Option #2: Boaz says that the values x=0 and x=−2 will both make the function equal 0, and he provided the given work: 0⋅(0+2)=0⋅(2)=0 , and −2⋅(−2+2)=−2(0)=0 . Option #3: Sophie says that only x=0 will make the function equal 0, and she provided the given work: 0⋅(0+2)=0⋅(2)=0 . (1 point) Option # is the correct explanation.
1 answer
Option #2: Boaz is the correct explanation. Both x=0 and x=-2 will make the function equal to 0. Boaz correctly showed the work for both values and obtained the result of 0 for both equations.