Question

if x+2k is a factor of p(x)=x^5-4k^2x^3+2x+2k+3. Then find k.​

Answer 1

According to the question

X+2k is a factor

so put X=-2k in p(X)

p(-2k)=(-2k)^5-4k^2(2)(-2k)^3+2(-k)+2k=0

-32k^5+64k^5=0

32k^5=0

so k=0