SOLUTION: Using the given zero, find all other zeros of f(x). 2-6i is a zero of f(x)=x^4-4x^3+41x^2-4x+40.

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Question 1064761: Using the given zero, find all other zeros of f(x). 2-6i is a zero of f(x)=x^4-4x^3+41x^2-4x+40.
Answer by josgarithmetic(39620)   (Show Source): You can put this solution on YOUR website!
THESE two factors give a quadratic factor:


.

If you peform long polynomial division (not shown) for divided by , result will be .



The two other zeros are .

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