Answer
Yes.
Work Step by Step
Dividing a polynomial P(x) with (x-c) using synthetic division:
Set up a table in three rows:
1. 1st row: place c, followed by coefficients of the powers of x (do not skip zeros)
2. third row, : copy the leading coefficient (call it A)
3. The entry of the middle row in the next column is obtained by multiplying A with c.
4. The next entry of the third row is obtained by adding the two entries in rows 1 and 2.
5. Repeat steps 3 and 4 until the table is filled.
Interpret the result:
the last entry of the last row gives the remainder, and
the preceding entries are coefficients of the quotient.
$(x-c)$ is a factor if the remainder is 0.
----
Dividing with ($x+3$) $\qquad$... $c=-3.$
\begin{array}{l|rrrrrr|r}
-3&3&0&0&82&0&0&27\\
&&-9&27&-81&-3&9&-27\\ \hline
&3&-9&27&1&-3&9&0\\
\end{array}
The remainder is 0,$\qquad$... ($x+3$) is a factor of P(x)
