Question

For what value of m is x3 – 2mx2 + 16 divisible by x + 2 ?

Answer 1

m+2 is factor of the polynomial
x+2=0
x=-2
put in polynomial
-8-8m+16=0
m=1

Answer 2

if it is divisible by x+2 then x=-2 is a root of the polynomial.put x=-2 in the equation(-2)³-2m(-2)²+16=0⇒-8-8m+16=0⇒-8m+8=0⇒8m=8⇒m=1