Question

23. If x + 2k is a factor of f(x) = x⁴-4k² x² + 2x + 3k + 3, find k.​

Answer 1

Answer:

k=3

Step-by-step explanation:

let x+2k=0

x= -2k

f(x) = x⁴-4k² x² + 2x + 3k + 3

f(-2k)=(-2k)^4-4(k)^2(-2k)^2+2(-2k)+3k+3

0=16k^4-16k^4-4k+3k+3

0= -k+3

k=3