What is the quotient when x3 - 5x2 + 3x - 8 is divided by x - 3? A. x2 - 8x + 27 B. x2 - 2x - 3 C. x2 - 8x + 27 - 89 over the quantity of x minus 3 D. x2 - 2x - 3 - 17 over the quantity of x minus 3

Respuesta :

( x³  - 5 x² + 3 x - 8 ) : ( x - 3 ) = x² - 2 x - 3
 -x³ + 3 x²
--------------
        - 2 x² + 3 x
          2 x² - 6 x
        ---------------
                 - 3 x - 8
                   3 x - 9
                --------------
            R ( x ) = 17

Answer: D ) x² - 2 x - 3 -  17/( x - 3 )