synthetic devision

Question

Using synthetic division, find the quotient Q(x) and the remainder R if the polynomial p(x)=6x³+13x²+x-2 is divided by(x+2)

Answer 1

6x^2 + x - 1 is the quotient when the cubic is divided by x+2

(x+2)(6x^2+x-1) = 6x^3 +13x +x -2

Answer 2

6 13 1 -2 |-2

-12 -2 2

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

6 1 -1 0

Remainder is 0

Checking:

p(-2) = -48+52-2-2 = 0 By the remainder theorem