(Q1) Divide 2x2+3x+1 by x+2

x-
x+2 ) x2+x+
x2+x
-   -
- +
- -
+   +

The quotient is x- and the remainder is

Let us verifing division algorithm

(x-)(x+2)+ = 2x2+3x-2+3=2x2+3x+1

2x2+3x+1 = (x+2)(x-)+

Therefore,Dividend = Divisor ×Quotient+Reminder