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# Find the remainder when $$x^{4} - 11x + 2$$ is divided by x

### Question

Find the remainder when $$x^{4} - 11x + 2$$ is divided by x

A) 2

B) 6

C) -2

D) 5

### Explanation:

Let $$f(x) = x^{4} - 11x + 2$$
$$\begin{array}{rl} x^3 - 11 \\ x | \overline{\phantom{00}x^{4} - 11x + 2} \\ \underline{(-)x^{4} - 0\phantom{00} + 0} \\ \phantom{000} -11x + 2 \\ \underline{\phantom{0}(-) -11x + 0} \\ 2 \end{array}$$
Remainder = $$+2$$

## Dicussion (1)

• Let $$f(x) = x^{4} - 11x + 2$$
$$\begin{array}{rl} x^3 - 11 \\ x | \overline{\phantom{00}x^{4} - 11x + 2} \\ \underline{(-)x^{4} - 0\phantom{00} + 0} \\ \phantom{000} -11x + 2 \\ \underline{\phantom{0}(-) -11x + 0} \\ 2 \end{array}$$
Remainder = $$+2$$