Question

Fill in the blanks so that the following statement is true

Answer 1

For such a long division process, after the first two steps, we will now subtract the expression that we got on the dividend.

This means that the next step is to subtract 8x^2 - 28x from 8x^2 + 6. The difference between these two expressions would be:

`\begin{gathered} 8x^2+6x-(8x^2-28x) \\ 8x^2+6x-8x^2+28x \\ \rightarrow34x \end{gathered}`

After getting the difference, we will bring down the remaining term on the dividend, which is -5. This now forms a new dividend, which is 34x - 5.

Answer: The next step is to subtract 8x^2 - 28x from 8x^2 + 6, which obtains 34x. Then bring down -5 and form the new dividend 34x - 5.