Question

Find all zeros of 2x^4-5x^3+53x^2-125x+75=0
a.-1,-3/2,+-5i c.1,3/2,+-5
b.1,3/2,+-5i d.-1,-3/2,+-5

Answer 1

the easiest way is probable plug in
x=-1
x=-3/2
x=-5i....
etc. until you find which has the proper set of answers

or you could use the rational root theorem and then divide synthetically until you have a quadratic, for which you can use the quadratic formula or something... seems like more work though.