what is x^2-2x+3 / x+4 done with long division for polynomials

Question

x^2-2x+3

----

x+4

that is the math problem

Answer 1

(x^2 -2x +3)/(x+4) = x-6 +27/(x+4)

synthetic division

-4 | 1 -2 3 |

4 24

1 -6 27

quotient = x-6 with remainder of 27

long division

x -6

x+4 |x^2 -2x + 3

x^2 +4x

-6x

-6x -24

27