Respuesta :

Answer: Using synthetic division to divide 4x^3-3x^2+5x+6 by x+6, the quotient is


Solution:

Using synthetic division:

                    4x^3 - 3x^2+5x+6

3rd grade:  ! 4        -3        5    6

x+6→       -6 ! ____-24__162_-1,002

2nd grade: ! 4       -27     167  -996=Remainder

Quotient:      4x^2-27x + 167


          Dividend / divisor =    Quotient      + Remaider / divisor  

(4x^3-3x^2+5x+6) / (x+6) = 4x^2-27x+167  - 996         / (x+6)

D.)  4x^2-27x+167-996/x+6

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