Precalculus Examples

If $f (x) = 4 x^{5} - x - 3$ ; then what is the remainder when $f (x)$ is divided by $x - 3$ ?

Step 1

Write the problem as a mathematical expression.

$f (x) = 4 x^{5} - x - 3$ , $\frac{f (x)}{x - 3}$

Step 2

Remove parentheses.

$4 x^{5} - x - 3$

Step 3

Rewrite $\frac{f (x)}{x - 3}$ .

$\frac{4 x^{5} - x - 3}{x - 3}$