Help with division of polynomials pleaseee

Question

I have to write the polynomials in descending orden when dividing.

 

27-x-14x³+4x⁴ / x-3  

 

 

My answer is 4x³-2x²-6x+17+78/x-3 .I am not sure if that is the right answer. Help pelase! 

Answer 1

Actually you have to do long division:

 

         4x^3 

       ____________________

x - 3| 4x^4 - 14x^3 - x + 27

 

         4x^4 -12x^3

        ---------------------------

                  -2x^3 -x + 27

etc....

 

Your final answer will be:  4x^3 - 2x^2 - 6x - 19  //with no remainder.        

Answer 2

(4x⁴-14x³-x+27)/x-3

 

You're answer should be

 

4x³-2x²-6x-19-(30/x-3)