Question

find K, if X + K is a factor of x^3 + x k x^2 - 2 X + K+ 5

Answer 1

x+ k. is the factor =>x= -k
=>(-k)^3+k(k)^2-2(-k)+k+4=0
=>-k^3+k^3+2k+k+4=0
=>3k+4=0
=>k= -4/3
I hope it will help u