Question

if x+2k is a factor of f(x)=x^5-4k²x³+2x+2k+3 find k. ​

Answer 1

Answer:

k = 3/2.

Step-by-step explanation:

x+2k is a factor so f(-2k) = 0;

(-2k)^5 - 4k²(-2k)³ + 2(-2k) + 2k +3 = 0

-32k^5 + 32k^5 -4k +2k+3 = 0

2k = 3

k = 3/2.