Question

Find the value of K if x+k is a factor of x^4-k^2 x^2+3x-6​

Answer 1

Step-by-step explanation:

x+k=0

x= -k

x^4-k^2-x^2+3x-6=0

(-k)^4-k^2-(-k)^2+3(-k)-6=0

k^4-k^2-k^2-3k-6=0

k^4-k^4-3k-6=0

-3k-6=0

-3k=6

-k=6/3

k=2