Question

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

Answer 1

To divide 2y² + 8 by 2y + 4, use long division to find the quotient and remainder.

Step-by-step explanation:

To divide 2y² + 8 by 2y + 4, we can use long division. Here are the steps:

Divide the first term of the dividend by the first term of the divisor, which gives us y.

Multiply the entire divisor by y to get 2y² + 4y.

Subtract 2y² + 4y from the dividend 2y² + 8 to get 4.

Next, divide 4 by 2y + 4, which gives us 2.

Finally, we have a remainder of 0.

Therefore, the quotient is y + 2 and the remainder is 0.

Answer 2

2y² + 8 ÷ 2y + 4 =
`(y - 2) ((16)/(2y+4))`

Thus the quotient is y-2 and the remainder is 16.


View my working below in the attachment.