(Q2) Divide 3x3+x2+2x+5 by 1+2x+x2

x-
x2+2x+1 ) x3+2+x+
x3+x2+x
-   -    -
-x2-+
-x2-x-
+   +   +
x +

So, the quotient is x- and the remainder is x+ also

Dividend = Divisor+Quotient+Remainder

(x2+2x+1)×(x-)+(x+) = 3x3+x2+2x+5