Question

Create a division of polynomials problem. Demonstrate how this problem would be solved using both long division and synthetic division.

Answer 1

Long Division:
2x^2+3x+4
_____________
x-3 | 2x^3-3x^2-5x-12
2x^3-6x^2
____________
3x^2-5x-12
3x^2-9x
____________
4x-12
4x-12
____________
0

So the divided equation is: 2x^2+3x+4

Synthetic Division:

3| 2 - 3 -5 -12
6 9 12
_____________
2 3 4 0

MAKING THE NEW EQUATION:

2x^2+3x+4

Same as the answer found through long division.

Answer 2

Thanks!