Question

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

Answer 1

Quotient = y - 2

Remainder = 16

Explanation:

We need to divide 2y² + 8 by 2y + 4

`\implies (2y^2+8)/(2y+4)`

Now, the division of this shown step wise in the image attached below :

Hence, we get Quotient = y - 2

Remainder = 16

Verifying the result : (2y + 4)×(y - 2) + 16

= 2y² - 4y + 4y - 8 + 16

= 2y² + 8 = Dividend.

Hence, The solution is verified.

Answer 2

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