Simplify the expression using long division. Show your work.
[x - 4 ]| = x^2 - x + 3 [Quotient]
x^3 | - | 5 x^2 | + | 7 x | - | 12
x^3 | - | 4 x^2 | | | |
-x^2 | + | 7 x | |
-x^2 | + | 4 x | |
3 x | - | 12
0
We can do this with synthetic division
4 [ 1 - 5 7 -12 ]
4 -4 12
_________________
1 -1 3 0
The remaining polynomial is x^2 - x + 3
