Determine the value of A so that x+1 is a factor of x^3+k^2x^2-2Ax-16. What is the solution to this?

Answer 1

-1 1 k^2 -2A -16 use synthetic division to get

1 k^2-1 1-k^2-2A k^2+2A-17 = 0 = remainder

2A = 17-k^2

A = 8.5 -.5k^2