Answer:
quotinet = 3x² - 2x - 2
remainder = 7
Step-by-step explanation:
12x³ - 2x² - 12x + 3
= 3x²(4x + 2) - 6x² - 2x² - 12x + 3
= 3x²(4x + 2) - 8x² - 12x + 3
= 3x²(4x + 2) - 2x(4x + 2) + 4x - 12x + 3
= 3x²(4x + 2) - 2x(4x + 2) - 8x + 3
= 3x²(4x + 2) - 2x(4x + 2) - 2(4x + 2) + 4 + 3
= 3x²(4x + 2) - 2x(4x + 2) - 2(4x + 2) + 7
= (4x + 2)(3x² - 2x - 2) + 7
so
quotinet = 3x² - 2x - 2
remainder = 7
