Question

(y^4 – y^3 + 2y^2 + y – 1) ÷ (y^3 + 1)
DO NOT INCLUDE PARENTHESES IN YOUR ANSWER

Answer 1

Use long division.

y - 1
-------------------------------
y³+1 | y⁴ - y³ + 2y² + y - 1
y⁴ + y
-------------------------------
- y³ + 2y² - 1
- y³ - 1
---------------------------
2y²

Answer: y - 1 + 2y2 ÷ y³+1

Note:
The correct answer should be written with parenthesis, as y - 1 + y²/(y³+1) in order to avoid ambiguity.