Emergency! Find the quotient and remainder when x^4 is divided by x^2 + 2x - 1

quotient x² - 2x + 5

remainder (-12x+5)

Step-by-step explanation:

x² - 2x + 5

x² + 2x - 1 | x^4 + 0*x³ + 0*x² + 0x + 0

| - (x^4 + 2x³ - x²)

- 2x³ + x² + 0x

- (-2x³ - 4x² + 2x)

5x² - 2x + 0

- (5x² + 10x - 5)

-12x + 5

x² - 2x + 5 + (-12x + 5) / (x² + 2x - 1)