Question 43893
If f(x)=x(x+3)(x-1), use interval notation to give all values of x where f(x)is less than 0.

The zeroes are x=0,-3, and 1.

Plot these points on a number line.
Check values in each interval to determine if f(x)<0 in that interval.

For example choose a value between -3 and 0, say x=-1
f(-1)=-1(+2)(-2)>0 so the interval (-3,0) is not part of the solution.

Check also (-inf,-3), (0,1), (1,inf)

Cheers,
Stan H.