Muse synthetic division to find the quotient and remainder when 3x^4 +19x^3+22x^2-6x+4 is divided by x+2

Answer: 3x^3 +13x^2 -4x +2 +0/(x+2)
Step-by-step explanation:
-2: 3 19 22 -6 4=
-6 -26 8 -4
3 13 -4 2 0 ==> 3x^3 +13x^2 -4x +2 +0/(x+2)
Quotient: 3x^3 +13x^2 -4x +2
Remainder: 0