SOLUTION: Find all the zeros of the function and write the function in factored form, show all work. {{{ h(x) = x^4 - 8x^3 + 14x^2 + 28x - 80}}}

Algebra ->  Functions -> SOLUTION: Find all the zeros of the function and write the function in factored form, show all work. {{{ h(x) = x^4 - 8x^3 + 14x^2 + 28x - 80}}}      Log On


   

Question 1168768: Find all the zeros of the function and write the function in factored form, show all work. +h%28x%29+=+x%5E4+-+8x%5E3+%2B+14x%5E2+%2B+28x+-+80
Answer by josgarithmetic(39618) About Me  (Show Source):
You can put this solution on YOUR website!
Abbreviating showing very little of the work,
Synthetic division to check roots 4 and -2 will give zeros.
then x^2-6x+10 will have roots 3%2Bi and 3-i.

h%28x%29=%28x-4%29%28x%2B2%29%28x-%283%2Bi%29%29%28x-%283-i%29%29, and you can do what you need to with this.