Answer:
C: x = -2, 0, and 6
Step-by-step explanation:
First set the equation equal to zero
0 = x³ - 4x² - 12x
now factor out the GCF, which is 'x'
0 = x(x² - 4x - 12)
Now factor completely...
0 = x(x - 6)(x + 2)
So
x = 0
and
x - 6 = 0 becomes x = 6 (add 6 to both sides)
and
x + 2 = 0 becomes x = -2 (subtract 2 from both sides)
So our solutions are
x = -2, 0, and 6
