Question

What is the answer?

Answer 1

Answer:

k=3

Step-by-step explanation:

+ we note f(p)= $p^{4}+p^{2} +p -k$

+ Because of "p-1 is a factor of f(p)", that means f(p)= (p-1)* g(p)

Then we have f(1)= (1-1)*g(1)= 0* g(1)= 0

+ We replace p=1 in f(p) and we have:

f(1)=0

that means: $1^{4}+1^{2} + 1 - k=0$

then 1+1+1-k = 0, 3-k=0 or k=3

Hope that useful for you.