SOLUTION: 8. Find the bounds on the real zeros of the following function. Please show all of your work. f(x)=x^5-5x^4+8x+2 please help me out,I appreciate any help, thanks

Question 468142: 8. Find the bounds on the real zeros of the following function. Please show all of your work.
f(x)=x^5-5x^4+8x+2

please help me out,I appreciate any help, thanks
Answer by lwsshak3(11628) (Show Source): You can put this solution on YOUR website!
Find the bounds on the real zeros of the following function. Please show all of your work.
f(x)=x^5-5x^4+8x+2
...
f(x)=x^5-5x^4+8x+2
factors of p=2: �1, �2
factors of q=1: �1
possible rational roots, (p/q): �1, �2
Using synthetic division to find real rational roots
0).....1....-5.....0.....0.....8.....2
1).....1....-4....-4...-4....4....6 (root between 1 and -1)
-1)...1....-6.....6....-6...14..-12 (alternate signs, -1 is lower bound)
2).....1....-3...-6...-12..-16..-30
-2)...1....-7...14...-28..64...-126
No rational roots found.
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