mathplease help,need quickly
posted by anonymous .
solve the polynomial inequality and graph the solution set on a real num ber line. express the solution set in interval notation
x^3+x^2+64x+64>0
please show work

Look for roots of
x^3+x^2+64x+64 = 0
among x = +or 1,2,4,8 and 16
(That is called using the rational rooot theorem)
One of them is x= 1. Therefore (x+1) is a factor of the polynomial.
Now divide x^3+ x^2+ 64x+ 64 by x+1 for the other roots. Between the x values where f(x) = 0, the function is either + or . You will have to figure that out.
If you can't, try reading
http://www.algebra.com/algebra/homework/Graphs/Graphs.faq.question.516644.html 
Given the statement below, translate to an inequality. Use the variable n.
The cost of repairs will be at most $240.