What is the quotient and remainder for (24b^3 + 16b^2 + 20b + 36)/(4b + 4)

We have to find the quotient and remainder for (24b^3 +
16b^2 + 20b + 36)/(4b + 4)

(24b^3 + 16b^2 + 20b + 36)/(4b +
4)

=> (6b^3 + 4b^2 + 5b + 9)/(b +
1)

Now use long division:

b +
1 | 6b^3 + 4b^2 + 5b + 9 | 6b^2 - 2b + 7

............6b^3 +
6b^2

----------------------------------------

.......................
- 2b^2 + 5b + 9

....................... - 2b^2 -
2b

-----------------------------------------

......................................7b
+ 9

......................................7b +
7

-----------------------------------------

........................................0
+
2

-----------------------------------------

This
gives the quotient as 6b^2 - 2b + 7 and the remainder is
2.