Posted by **ladybug** on Sunday, November 18, 2012 at 10:53pm.

find the complex zeros of the polynomial function. write f in factored form.

f(x)=x^3-10x^2+37x-52

- college algebra -
**Anonymous**, Sunday, November 18, 2012 at 11:03pm
first you need to graph on a graphing calculator to find a zero. once you do, you realize 4 is a zero so (x-4) is a solution. now you can either use long division or synthetic division. I chose synthetic.

4| 1 -10 37 -52

+4 -24 +52

= 1 -6 13 0

= x^2 -6x +13

then substitute that into the quadratic formula, find complex zeros

6 +/- the square root of -16 all over 2

simplifies to

3+4i or 3-4i

- college algebra -
**Anonymous**, Sunday, November 18, 2012 at 11:14pm
f in factored form is (x-4)(x-3-4i)(x-3+4i)

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