Question

f(x)=(x+4)(x+2)(x-2)^2
Determine the x values that would make the function (use interval notation)
(1) positive
(2) negative

Answer 1

the (x-2)^2 is always positive

So, for -4 < x < -2, one of the other factors is positive and the other negative.

watch out to exclude y=0 from your intervals.