Answer:
remainder = - 2
Step-by-step explanation:
using the divisor as a factor in the numerator
Consider the numerator
4x²(x - 3) + 12x² - 20x - 50
= 4x²(x - 3) + 12x(x - 3) + 36x - 20x - 50
= 4x²(x - 3) +12x(x - 3) + 16(x - 3) + 48 - 50
= 4x²(x - 3) + 12x(x - 3) + 16(x - 3) - 2
quotient = 4x² + 12x + 16 , remainder = - 2
[tex]\frac{4x^3-20x-50}{x-3}[/tex] = 4x² + 12x + 16 - [tex]\frac{2}{x-3}[/tex]
