(2x^3-4x^2+2) divided by 2x-2

Question

Can you do the Tabular Method

Answer 1

Synthetic division after dividing both polynomials by 2.

The division by 2 makes the problem be to divide x³ - 2x² + 1 by x - 1

x - 1=0 for x = 1, so

_____________

1 | 1 -2 0 1

1 -1 -1

1 -1 -1 | 0

So the quotient polynomial is thus x² - x - 1.

For the remainder in the original problem, we would double the one we have here. But we see that it is 0 here.

We can verify the result as follows:

(x - 1)(x² - x - 1) = x³ - x² - x - x² + x + 1 = x³ - 2x² + 1.

Answer 2

This can be done using long division.