Use synthetic division to find the quotient and the remainder

Question

(X⁴+2x³-3x²+1) divided by (x+4)

 

find ne quotient and remainder. 

Answer 1

(x⁴+2x³-3x²+1)  / (x+4)...Eq1

 

x+4=0

∴x=-4

 

          coefficients of

        x⁴  x³   x²    x

  -4| 1   2   -3     0     1

     |

     |     -4    8   -20    80

     -------------------------

       1   -2    5   -20   81 

 

so the equation is x³-2x²+5x-20+(81/(x+4))...Eq2   ... ANS.

 

Check if we are right? by doing Eq2 * (x+4).You will get Eq1.