Question

How do you divide `(x^3 − 3x^2 + 7x + 2)` by `x-1`?

Answer 1

The answer will be : `x^3 - 3x^2 + 7x + 2 = (x-1)(x^2 - 2x - 5) + 7`

Explanation:

You basically divide `x^3 - 3x^2 + 7x + 2` by `x-1` by using the euclidean method, just like you would do it if you were dividing a natural number a by another number b : you will here try to delete the 3rd degree terms, then the 2nd degree terms, then the 1st degree terms.