What is the quotient when x3 - 5x2 + 3x - 8 is divided by x - 3?

x2 - 8x + 27

x2 - 2x - 3

x2 - 8x + 27 - 89 over the quantity of x minus 3

x2 - 2x - 3 - 17 over the quantity of x minus 3

X^3 - 5x^2 + 3x - 8/x - 3

Steps

First, divide x^3 - 5x^2 + 3x - 8/x - 3: x^3 - 5x^2 + 3x - 8/x - 3 = x^2 + - 2x^2 + 3x - 8/x - 3

= x^2 + - 2x^2 + 3x - 8/x - 3

Second, divide - 2x^2 + 3x - 8/x - 3: - 2x^2 + 3x - 8/x - 3 = - 2x + - 3x - 8/x - 3

= x^2 - 2x + - 3x - 8/x - 3

Third, divide - 3x - 8/x - 3: - 3x - 8/x - 3 = - 3 + - 17/x - 3

= x^2 - 2x - 3 + - 17/x - 3

Lastly, simplify

= x^2 - 2x - 3 - 17/x - 3