Question

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

Answer 1

SOLUTION

The divison is:

$\frac{x^4-x^2}{x-1}$

The quotient is:

$\begin{gathered} \frac{x^2(x^2-1)}{x-1} \\ =\frac{x^2(x-1)(x+1)}{x-1} \\ =x^2(x+1) \end{gathered}$

Notice that there is no remainder

Hence the answer is:

$0$