Question

where the degree of R is less than the degree of D.DDivide using the division algorithm. Write your answer in the form +2 + 111 + 181 + 9

Answer 1

The Solution:

Given the expression below:

We are required to write the answer in the form below:

$Q+\frac{R}{D}$

This means that:

$\frac{t^2+11t+18}{t+9}=t+2$

So, writing the answer in the required form, we have:

$\begin{gathered} Q+\frac{R}{D}=(t+2)+\frac{0}{t+9}=t+2 \\ \text{this means that:} \\ Q=t+2 \\ R=0 \\ D=t+9 \end{gathered}$

Therefore, the correct answer is:

$t+2$