Question

Express in lowest terms X+X^4/X^2-X+1

Answer 1

A; x(x + 1)
B; 1 + x²

Answer 2

C;X^4/2

Answer 3

Is it the expression? \[\frac{ x+x^{4} }{ x^{2}-x+1 }\]

Answer 4

YES

Answer 5

hint :
x^3+1 = (x+1)(x^2-x+1)

Answer 6

\[\frac{ x+x^{4} }{ x^{2}-x+1 }=\frac{ x(1+x^{3}) }{ x^{2}-x +1}=\frac{ x(x+1)(x^{2}-x+1) }{ x^{2}-x+1 }=x(x+1)\]