Question

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

y – 2 –
y + 2 –
y + 2 +
y – 2 +

Answer 1

(2y^2 + 8) ÷ (2y + 4):

Divide: 2y^2 ÷ 2y = y → y(2y+4)=2y^2+4y.
Subtract: (2y^2+0y+8)−(2y^2+4y)=−4y+8.
Next: −4y ÷ 2y = −2 → −2(2y+4)=−4y−8.
Subtract: (−4y+8)−(−4y−8)=16.

Quotient = y − 2, remainder = 16. So the result is y − 2 + 16/(2y+4) = y − 2 + 8/(y+2).

Choice: y − 2 +.