Question

For what value of m is x^3-2mx+16 divisible by x-2

Answer 1

Answer:

6

Step-by-step explanation:

p(x) = x³ - 2mx + 16 = 0

g(x) = x - 2 = 0

x = 2

Substitute the value of x in p(x)

2³ - 2m×2 + 16 = 0

8 - 4m +16 = 0

24 - 4m = 0

-4m = -24

m = 6