- #1
DTA
- 6
- 0
Homework Statement
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
Homework 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.
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!