Answer:LONG METHOD 2x²-11x +48 x-5÷|2x³+x²-7x-240 - 2x³+10x² - 11x²-7x -11x²-55 48x-240 + -48x+240 0SYNTHETIC METHOD(2x³ + x² - 7x - 240) ÷ (x-5)Solve for xx-5=0x=5 2x³ + x² - 7x - 240 5| 2 1 - 7 - 240 + 10 55 240 2 11 48 0Since the highest exponent is 3 we just need to subtract 1 to make it 2Therefore,The quotient is2x²+ 11x +48No exact remainder. Step-by-step explanation:Hope it helps!