Divide the polynomials.
4y^4 + 8y^3 + 2y^2 - 8
/2y + 4
To divide the polynomials, we perform long division.
2y^2 - 4
___________________________
2y + 4 | 4y^4 + 8y^3 + 2y^2 + 0y - 8
- (4y^4 + 8y^3)
_______________________
0 - 6y^3 + 2y^2
- (- 6y^3 - 12y^2)
________________________
14y^2 - 8
- (14y^2 + 28)
________________________
-36
Therefore, the quotient of the division is 2y^2 - 4 and the remainder is -36.