Question

How do you use synthetic division to determine if `-1` is a lower bound of `f(x) = 4x^3-2x^2+2x-4`?

Answer 1

`Quotient=4x^2+2x+4` & Remainder `=0`

Explanation:

`(4x^3-2x^2+2x-4)/((x-1)` using synthetic division:
1 | 4 -2 2 -4
| 4 2 4
___
| 4 2 4 0
Quotient `=4x^2+2x+4` & Remainder `=0`

Verification:
`f(1)=4-2+2-4=0`