Question

Divide these polynomials.

(x4 + x3 - 7x2 - 2x + 3) (x + 3)

A. x3 - 3x2 + 2x + 2
B. x4 + 2x3 - x2 + x
C. x3 + 2x2 - x + 1
D. x3 - 2x2 - x + 1

Answer 1

Do long div like the last one:

3x^2 + 2x + 1
________________________
3x+1 ) 9x^3 + 9x^2 + 5x +1
- 9x^3 + 3x^2
--------------
6x^2 + 5x
- 6x^2 + 2x
-----------
3x + 1
- 3x + 1
---------
0

Answer 2

\[
\frac{x^4+x^3-7 x^2-2
x+3}{x+3}=\frac { (x+3)(x^3-2 x^2-x+1) } {x+3)}=x^3-2 x^2-x+1
\]