Posted by anonymous on Thursday, January 10, 2013 at 12:48am.
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
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