SOLUTION: Use long division to divide (x^4 + x^3 + 14x^2 - 9x + 12) by (x^2 - x + 1). Write the answer in the form f(x)= d(x)q(x)+r(x)

(x^4 + x^3 + 14x^2 - 9x + 12) by (x^2 - x + 1)

The numbers after the letters below are supposed to be exponents

                           x2 +  2x + 15
    x2 - x + 1)x4 + x3 + 14x2 -  9x + 12
               x4 - x3 +   x2
                   2x3 + 13x2 -  9x
                   2x3 -  2x2 +  2x
                         15x2 - 11x + 12   
                         15x2 - 15x + 15
                                 4x -  3

f(x) = 
d(x) = 
q(x) = 
r(x) = 

f(x) =  d(x)q(x) + r(x)



Edwin