Question

Divide 2y2 + 8 by 2y + 4. Which expression represents the quotient and remainder?

Answer 1

We need to perform division of 2y2 + 8 by 2y + 4. To solve this problem, we need to use the long method of division such as shown below:

              y    - 2       r. 16  

           -----------------------

2y+4 √2y2 + 0y + 8

         - (2y2 + 4y)

           ----------------------- 

              0y2 - 4y  + 8

                     - (-4y  -8)

            -----------------------

                       0y  + 16

The answer is D)  y-2 + (16/(2y+4)) on which the remainder is 16 / (2y+4).

Answer 2

When 2(y^2) + 8 is divided by  2y + 4 is equal to (y - 2) + (16 / (2y + 4)). The expression represents the quotient is the 2y + 4. While the expression represent the remainder is 16 / (2y + 4). The remainder of the given expression can also be solve using the remainder theorem.