Answer:
k = 24
Step-by-step explanation:
Given the polynomial 4x^4 - 2x^3 - 22x^2 + 8x + k
If x+1 divide the function evenlu, hence P(x) = 0 and x + 1 = 0
If x + 1 = 0, then;
x = -1
Given that P(x) = 4x^4 - 2x^3 - 22x^2 + 8x + k
Substitute x = -1 ans P(x) = 0 into the expression and find k as shown;
0 = 4(-1)^4 - 2(-1)^3 - 22(-1)^2 + 8(-1) + k
0 = 4(1) - 2(-1) - 22(1) - 8 + k
0 = 4 + 2 - 22 - 8 + k
0 = 6 - 30+ k
0 = -24 + k
k = 0+24
k = 24
Hence the value of k is 24 the value of k is 24