Answer:the quotient is x^2 + 3x + 4 and the remainder is -x + 12. You can express the final answer as: x^2 + 3x + 4 + \frac{-x+12}{2x^2 + x - 1} You can perform this long division yourself to verify the result. Remember to arrange the terms in descending order of exponents before performing the division.Step-by-step explanation:I cannot create and send images. However, I can provide you with the solution to the polynomial division problem: The problem is to divide 2x^4 + 7x^3 + 10x^2 + 0x + 8 by 2x^2 + x - 1. Here's how to solve it using polynomial long division: x² + 3x + 4 _________________________2x²+x-1 | 2x⁴ + 7x³ + 10x² + 0x + 8 - (2x⁴ + x³ - x²) _________________________ 6x³ + 11x² + 0x -(6x³ + 3x² - 3x) _________________________ 8x² + 3x + 8 -(8x² + 4x - 4) _________________________ -x + 12