Final answer:
To find Q(x) and R when 3x³– 4x² -9x + 2 = (3x+1)Q(x) + R, perform polynomial division.
Step-by-step explanation:
To find Q(x) and R when 3x³– 4x² -9x + 2 = (3x+1)Q(x) + R, we need to perform polynomial division. We divide the given polynomial by (3x+1) using long division or synthetic division.
When we divide 3x³– 4x² -9x + 2 by 3x+1, we get Q(x) = x² - 5x + 1 and R = -3x + 3.