1. The problem statement, all variables and given/known data The problem states: Consider the function f(x)=x4-8x3+2x2+80x-75 a) Verify that x-1 and x-5 are factors b) Find the remaining factors of f(x) c) List all real zeros 2. Relevant equations I did synthetic division to prove that 1 and 5 are factors, yet I'm having trouble figuring out how to get the remaining zeros. 3. The attempt at a solution I tried splitting up the equation and factoring out from both sides and got: x3(x-8)+2x(x-40)-75 And I just got lost from here. I'm blanking on how to find the zeros besides just choosing a bunch of numbers and doing synthetic division a bunch of times. Thanks for any help!