Question

for what value of m is x3-2mx2-16 divisible by x+2?​

Answer 1

to be divisible by x+2 it has to be its zero

therefore x=-2

x^3-2mx^2 -16 = 0

-8 - 2m*4 -16 =0

-24-8m=0

8m = 24

m= 3