#### Answer

Quotient =$0.1x^{2}-0.11x+0.321$
Remainder = $-0.3531$

#### 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 above, 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.
----
Dividing with ($x+1.1$) $\qquad$... $c=-1.1$
\begin{array}{l|ccc|cc}
-1.1&0.1&0&0.2&0&&&\\
&&-0.11&0.121&-0.3531&&&\\ \hline
&0.1&-0.11&0.321&-0.3531&&&\\
\end{array}
Quotient =$0.1x^{2}-0.11x+0.321$
Remainder = $-0.3531$