Question

What is the remainder when x4 – x2 is divided by x - 1?-1012

Answer 1

The divison is:

`(x^4-x^2)/(x-1)`

The quotient is:

`\begin{gathered} (x^2(x^2-1))/(x-1) \\ =(x^2(x-1)(x+1))/(x-1) \\ =x^2(x+1) \end{gathered}`

Notice that there is no remainder

Hence the answer is:

`0`