Use synthetic division to solve (4x3-3x2+5x+6)/(x+6) what is the quotient?

4x^2 -27x +167

Step-by-step explanation:

(4x^3-3x^2+5x+6)/(x+6)

WE use synthetic division

x+6 =0 , so x=-6

We divide by -6. Write the coefficient of all terms inside and -6 outside.

Take down 4 as it is. then multiply the bottom number with -6 and put it in the middle. Continue the process.

-6                  4          -3          5         6

                                -24       162      -1002                        

                      4        -27       167      -996    (remainder)

Quotient is 4x^2 -27x +167

Remainder is -996