Posted by **sharday** on Sunday, June 9, 2013 at 4:10am.

Find the complex zeros of the polynomial function. Write f in factored form.

F(x)=x^3-8x^2+29x-52

Use the complex zeros to write f in factored form

F(x)=____(reduce fractions and simplify roots)

- algebra -
**Reiny**, Sunday, June 9, 2013 at 8:53am
testing for x = ±2, ± 4 and ±13, I found

f(4) = 0 , so x=4 is a zero, and x-4 is a factor

x^3-8x^2+29x-52 = (x-4)(x^2 - 4x + 13) = 0

solving x^2 - 4x + 13 = 0 by completing the square (in this case faster than the formula)

x^2 - 4x + 4 = -13+4

(x-2)^2 = -9

x-2 = ± 3i

x = 2 ± 3i

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