SOLUTION: I'm having trouble finding the answer Find all the zeros of f(x) + x^5+4x^4+4x^3

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Question 1085282: I'm having trouble finding the answer
Find all the zeros of f(x) + x^5+4x^4+4x^3
Answer by MathLover1(20850) About Me  (Show Source):
You can put this solution on YOUR website!

Find all the zeros of f%28x%29=+x%5E5%2B4x%5E4%2B4x%5E3
first set f%28x%29=+0 and factor
0=+x%5E3%28x%5E2%2B4x%2B4%29
0=+x%5E3%28x%2B2%29%5E2%29
zeros:
0=+x%5E3->x=0 (it'll be of multiplicity three)
0=%28x%2B2%29%5E2%29->x=-2 (it'll be of multiplicity two)