Question

Help Please:

Use synthetic division and the Remainder Theorem to evaluate P(c), where
P(x)=x^4 + 7 x^3 + 4 x^2 + 33 x + 38, c=-7.

The quotient is
The remainder is
P(c) =

Answer 1

What you need to do is to divide \[x^4+7x^3+4x^2+33x+38\] by \[(x+7)\]. To do that you need to do synthetic division.
----
The remainder is the when you substitute -7 into the equation into the places where you find x. This is the Remainder Theorem.
P(c) is the same as the remainder.