Confused on how to do problem? Algebra II

Question

Use the Factor Theorem to determine if the first polynomial is a factor of the second polynomial.

Is (x - 2) a factor of x3 + 2x2 - 5x - 6?

i have to show work please explain the process 

Answer 1

if x-2 is a factor 2 is a zero or root

plug 2 for x in the polynomial and see if it = 0

x^3 +2x^2 -5x -6

2^3 +2(2^2) -5(2) -6 = 8 +2(4) -10 -6 = 8+8 -16 = 16-16 = 0

so yes, x-2 is a factor