Question

Zavier, Boaz, and Sophie are trying to find the values of x that make the following quadratic function
equal O: 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.

Answer 1

Option #2 is correct.

Reason: x(x + 2) = 0 when either factor is 0. So x = 0 or x = -2. Boaz correctly shows both make the product 0.