find all the zeros of the polynomial function.
g(x)=x^4-2x^3-3x^2+2x+2
Please explain how you do this!

Question

find all the zeros of the polynomial function.
g(x)=x^4-2x^3-3x^2+2x+2
 Please explain how you do this!

rob1525 · Answer

Well the easiest way is to use a graphing calc to solve for the zeros. any other way is a pain in the ars.

anonymous · Answer

I dont have a graphing calculator, and for the test i cant use one.

anonymous · Answer

Do you know how to graph polynomial functions?

rob1525 · Answer

Seriously, wow. so you got to find the factors of 2 which is +-1,+-2 and the factors of the heighest degree term which is just +-1. Then you need to divide each factor. This is a long process and this is just for the rational zeros! For more details look at this website http://tutorial.math.lamar.edu/Classes/Alg/FindingZeroesOfPolynomials.aspx#Poly_FindZ_Ex2_a. you'll see there is no quick fix. the solution for your equation is

rob1525 · Answer

$${-1,(-\sqrt{3}-1), 1, (\sqrt{3}+1)}$$