Question

The function f(x)=x^3-5x^2-2x=24 is positive for what parts of its domain?

Answer 1

Well in this situation the best thing to do would be to simplify it.. into factors. then you have ranges of test cases to test whether a number is positive in that range

Answer 2

can you factor it?

Answer 3

yep! thanks!

Answer 4

is it \[ f(x)=x^3-5x^2-2x+24\]

Answer 5

yeah!

Answer 6

did you factor? once you have the three zeros, because this is a third degree polynomial with positive leading coefficient you know it will be
negative, then positive, then negative, then positive