Question

Use the Factor Theorem to determine whether x + 1 is a factor of P(x) = 2x³+4x²–2x−8.

Specifically, evaluate P at the proper value, and then determine whether x + 1 is a factor.

Answer 1

Answer:
`2x^2+2x-4-(4)/(x+1)`

Not a factor because there is a remainder.

Explanation:

Let's use synthetic division to solve this..

-1 ║ 2 | 4 | -2 | -8

║ | -2| -2 | 4

║ 2 | 2| -4 | -4

`2x^2+2x-4-(4)/(x+1)`

PS: if anyone knows a better way to do a synthetic division chart please let me know.