Question

Can u help with its answer on paper ??

Answer 1

Answer:

Given A = (x+1)^7 + (2x+k)^3

(x+2) is a factor of A.

In that case, if we put x= -2, the value of A will be zero.

OR (-2+1)^7 + (-4 +k)^3 = 0

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

OR, -1 +(k^3 -12 k^2 + 48 K - 64) = 0

OR k^3 - 12 k^2 + 48k -65 = 0