Question

Drag the expressions to the correct locations on the image. Not all expressions will be used.

Answer 1

Given the polynomial below

$(x^3-8x+6)\div(x^2-2x+1)$

Using the long division method

The answer in the equivalent form

$_{}q(x)+\frac{r(x)}{b(x)_{}}$

Where

$\begin{gathered} q(x)=quotient=x+2 \\ r(x)=\text{remainder}=-5x+4 \\ b(x)=\text{divisor}=x^2-2x+1 \end{gathered}$

The answer is

$q(x)+\frac{r(x)}{b(x)_{}}=(x+2)+\frac{-5x+4}{x^2-2x+1}$