Answer: 2x³ + 6x² + 7x + 1_________________________2x - 5 | 2x⁴ + x³ - 19x² + 18x + 5 - (2x⁴ - 5x³) _________________________ 6x³ - 19x² - (6x³ - 15x²) _________________________ -4x² + 18x - (-4x² + 10x) _________________________ 8x + 5 - (8x - 20) _________________________ 25 The quotient is 2x^3 + 6x^2 + 7x + 8 and the remainder is 25. Therefore, the result of the division is: 2x^3 + 6x^2 + 7x + 8 + \frac{25}{2x - 5}