Question

Rewrite the expression (x3 + 7x2 + 6x – 1)/(x2 – 2) using the long division method.

Answer 1

Use long division to rewrite the expression:

`(x^3+7x^2+6x-1)/(x^2-2)`

The long division procedure is shown:

Therefore, the given expression can be rewritten as:

`x+7+(8x+13)/(x^2-2)`