Question 191732
bear  with  us,  hard  to  demo  on  typewriter

division  is  an  algorithm  of:  divide,  multiply,  subtract,  bring  down,  and  repeat

the  same  applies  to  polynomials


                step      (1)(3x^2)         step      (2) (-10x)         step   (3)(+40)


            ___________3x2            -10x        +40____-124/(x+3)____________________
x+3    !  3x^3        -x^2         +10x         -4

         -    ( 3x^3  +9x^2)    step (1)  (3x^2 *(x+3))
               ________________
                             -10x^2        +10x

                         -   ( -10x^2     -30x)  step(2)    ( -10x *(x+3))
                               ___________________
                                                   +40x        -4

                                             -     (+40x       +120)   step(3)   (40 * (x+3))
                                                    _________________
                                                                         -124


restating  (3x^3-x^2+10x-4)  /  (x+3) =  3x^2  -10x  +40    -   (124) /( x+3)


check  ( 3x^2  -10x  +40)  *  (  x+3)  =  3x^3  -x^2  +10x  +120   +  rem  of  (-124)    ok

note  we  just  could  not  get  it  to  space well,  if  you  rewrite with  spacing  it  might  be  better

note  if  this  is  understood  review  next  step  of  synthetic  division  pls