Question

For what value of m, is x³ - 2mx² + 16 is divisible by (x - 2) ?​

Answer 1

If this equation is divisible by (x - 2)

Then,

• x - 2 =0
• x = 2

Put value of x in equation

=> (2)^3 - 2 × m × (2)^2 + 16 = 0

=> 8 - 8m + 16 = 0

=> 24 - 8m = 0

=> 24 = 8m

=> 24/8 = m

=> m = 3

Value of m is 3