Divide these polynomials.

(x4 - x3 - 7x2 + 4x - 3) (x - 3)

A. x3 - 3x2 + 2x + 2

B. x3 + 2x2 - x + 1

C. x3 - 2x2 - x + 1

D. x4 + 2x3 - x2 + x

We can do this two ways: polynomial division or synthetic division.

Polynomial division involves factoring the equations first. Synthetic division is basically long division.

I'm opting for polynomial division cause it's shorter.

First, we factor ((x^4) - (x^3) - (7x^2) + 4x-3).

((x^4) - (x^3) - (7x^2) + 4x-3) = (x-3) ((x^3) + (2x^2) - x+1)

Then divide:

((x-3) ((x^3) + (2x^2) - x+1)) : (x-3) = (x^3) + (2x^2) - x+1

So your answer is B