what values make (x-6)(x+3) expression negative

Answer 1

-3 < x < 6

set each factor = 0 and solve for x

x-6=0 and x+3=0

x = 6 and x=-3 are the limits

just to check, try x=0 gives (-6)(3) =-18<0

try outside that range, x=-4 gives (-10)(-1)>0

or x=7 (1)(10) =10>0