Question

for what value of k (x-1) is a factor of p(x) = x² + x +k *​

Answer 1

p(x) = x2 + x + k

Apply remainder theorem

=>x - 1 =0

=> x = 1

According to remainder theorem p(1) = 0 we get

Plug x = 1 we get

=> k(1)2 + 1+ 1 =0

=>k +1 + 1 =0

=> k + 2 = 0

=> k = - 2

Answer 2

Answer

k=2

Step-by-step explanation: