SOLUTION: Find the zeros of the polynomial x^6-4x^5+4x^4 Enter your answers in increasing order. Enter �none� in all entry areas if there are no zeros.

Question 1014897: Find the zeros of the polynomial
x^6-4x^5+4x^4
Enter your answers in increasing order. Enter �none� in all entry areas if there are no zeros.

Answer by ikleyn(52786) (Show Source): You can put this solution on YOUR website!
.
Find the zeros of the polynomial
x^6-4x^5+4x^4
-------------------------------------

Factor out of parentheses:

x^6-4x^5+4x^4 = .

Next, = .

The roots of the original polynomial are x=0 of multiplicity 4 and x=2 of multiplicity 2.

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