SOLUTION: Find the zero of (f), identify all multiple zeros for (x-4) to the third power minus 4(x-4)

Question 1001661: Find the zero of (f), identify all multiple zeros for (x-4) to the third power minus 4(x-4)
Answer by josgarithmetic(39620) (Show Source): You can put this solution on YOUR website!

From here, x=4 would make the function equal 0. Degree 3 for x in the function definition. It appears to be the only zero for the function, or at least the only real zerol

Do the full multiplying to get general form, and it is .

Test the root of 4 using synthetic division, and the resulting quotient is which is factorable...

The fully factorized function is therefore . The roots or zeros are 4, 6, and 2, each of multiplicity ONE.
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