Question

what is x+x^4 divided by x^2-x+1 expressed in lowest terms

Answer 1

\[{x^4+x}\over{x^2-x+1}\] \[{x(x^3+1)}\over{x(x-1)+1}\] \[{x(x^2-x+1)(x+1)}\over{x^2-x+1}\] \[{x\cancel{(x^2-x+1)}(x+1)}\over\cancel{x^2-x+1}\] \[x(x+1)\]