Answer:
quotient = 2x² - 3x + 2 , remainder = 0
Step-by-step explanation:
using the divisor as a factor in the numerator
2x²(x - 3) + 6x² - 9x² + 11x - 6
= 2x²(x - 3) - 3x(x - 3) - 9x + 11x - 6
= 2x²(x - 3) - 3x(x - 3) + 2(x - 3) + 6 - 6
= 2x²(x - 3) - 3x(x - 3) + 2(x - 3) + 0
[tex]\frac{2x^3-9x^2+11x-6}{x-3}[/tex] = 2x² - 3x + 2
