Question

Drag the tiles to the correct boxes to complete the pairs.

Answer 1

Answer::

`\begin{gathered} q(x)=x^2-4x+1 \\ r(x)=0 \\ b(x)=x-3 \end{gathered}`

Explanation:

Given the quotient:

`(x^(3)-7 x^(2)+13 x-3)/(x-3)`

We want to rewrite the quotient in the form:

`q(x)+(r(x))/(b(x))`

First, we use the long division method to first divide.

Therefore:

`(x^(3)-7x^(2)+13x-3)/(x-3)=x^2-4x+1+(0)/(x-3)`

We thus have the following:

`\begin{gathered} q(x)=x^2-4x+1 \\ r(x)=0 \\ b(x)=x-3 \end{gathered}`