SOLUTION: please help me solve this problem list all possible zeros, find all zeros 1.f(x)= x^4+2x^3-11x^2+8x-60 2.f(x)= x^4-8x^3-8x^22x^2-8x-39

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Question 119630: please help me solve this problem list all possible zeros, find all zeros
1.f(x)= x^4+2x^3-11x^2+8x-60
2.f(x)= x^4-8x^3-8x^22x^2-8x-39

Answer by stanbon(75887)   (Show Source): You can put this solution on YOUR website!
find all zeros
1.f(x)= x^4+2x^3-11x^2+8x-60
I graphed it and found Real zeroes at x=-5 and x=3
Using synthetic division you can find the quadratic factor:
-5)....1....2....-11....8....-60
........1....-3.....4....-12...|..0
3).......1......0.....4.....0
------------
Remainder: 0
Quotient : x^2+4
Factors of the Quotient: (x-2i)(x+2i)
------------------
Zeroes: -5,3,2i,-2i
==========================
2.f(x)= x^4-8x^3-8x^22x^2-8x-39
Comment: There is some confusion in your posting
for #2.
=============================
Cheers,
Stan H.


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