Question

use factor therom to determine the real value of K for which x+2is a factor of (x+1)^7+(2x+k)^3​

Answer 1

Answer:

k = 5

Step-by-step explanation:

If x + 2 is factor of f(x) = (x+1)^7 + (2x+k)^3 then

f(-2) = 0

(-2+1)^7 + (-2*2 +k)^3 = 0

-1 + (k-4)^3 = 0

(k-4)^3 = 1

k -4 = 1

k = 5