Question

If ( + 2) is a factor of ^3 + 2^ 2 + 2 + then find the value of .​

Answer 1

Answer:

Let f (x) = 4x^3 + 3x^2 - 4x + k. (x - 2 ) is a factor of f (x) Remainder = 0 f (2) = 4 (2)^3 + 3 (2)^2 - 4 × (2) + k = 0 32 + 12 - 8 + k = 0 36 + k = 0 k = - 36