Question

for what value of m is x cube -2mx sq.+16 divisible by x+2

Answer 1

using factors theorem

x = - 2

x^3 - 2mx^2 + 16

( - 2)^3 - 2m ( -2)^2 + 16=0

- 8 -8m + 16 = 0

- 8m + 8 = 0

- 8m = - 8

m = 1

so your answer is m = 1