Question

Divide using synthetic division.
(x^3 +4-11x + 3x²) + (6 + x)

Answer 1

Explanation:

(x^3-4-11x+3x^2)÷(6+x)

(x³+3x²-11x+4)÷(x+6)

| 1 3 -11 4

-6 | -6 18 -42

----------------------

| 1 -3 7 -38

Hence,

x³+4-11x+3x²=(x²-3x+7)*(6+x)-38.