Answer:Therefore, the result of the division is: 5x² + 29x + 87 + 263/(x-3) Key Knowledge: - Polynomial long division is a method for dividing a polynomial by another polynomial.- The result of polynomial long division is a quotient and a remainder.- The remainder is a polynomial of lower degree than the divisor. 5x² + 29x + 87 x - 3 | 5x³ + 8x² + x - 2 + 15x 5x³ - 15x² ---------------- 23x² + x 23x² - 69x ---------------- 70x - 2 70x - 210 ---------------- 208Tips: - When performing polynomial long division, make sure to align the terms of the dividend and divisor according to their degrees.- Remember to subtract the product of the divisor and the quotient from the dividend at each step.- The remainder is the polynomial that is left over after the division is complete.Step-by-step explanation:We can use polynomial long division to solve this problem