Question 622148

solve the inequality
2x^3+5x^2-17x-20<0
To solve this problem, the equation must be in factored form.
This seems like a difficult expression to factor and probably it could be done with the rational roots theorem, but I'm just going to use a graphing calculator to find the following factors of this problem:
2x^3+5x^2-17x-20<0
(x+4)(x+1)(2x-5)<0
number line:
<..-...-4....+.....-1....-....5/2.....+.......> 
solution:
(-&#8734;,-4) U (-1,5/2)