Using the remainder theorem, we must find P(1) for:

1) Because we want to evaluate P(x) for x = 1, we must compute

2) Now we make the synthetic division by putting a 1 in the division box:
The remainder from the division is:

The quotient of the division is:

3) From the synthetic division we get a remainder R = -1, applying the Remainder Theorem we get that:

Summary
The answers are:
1)

2)

3)
