Answer:
x² - 3x - 6
Step-by-step explanation:
One way to divide is to use the divisor as a factor in the numerator
Consider the numerator
= x²(x - 2) + 2x² - 5x² + 5
= x²(x - 2) - 3x(x - 2) - 6x + 5
= x²(x - 2) - 3x(x - 2) - 6(x - 2) - 12 + 5
= x²(x - 2) - 3x(x - 2) - 6(x - 2) - 7
quotient = x² - 3x - 6, remainder = - 7
