Question

Look at picture pls help

Answer 1

Solution,

since the factor of f(p) = p-1

we know, f(p)= 0

p=1 (from remainder theorem)

now,

f(p) =p^4+p^2+p-k

0= 1^4+1^2+1-k

0= 1+1+1-k

0= 3-k

k=3

Answer 2

Answer: k = 3

because p - 1 is a factor of the equation

=> at p = 1, p^4 + p² + p - k =0

with p =1, we have: 1 + 1 + 1 - k = 0

⇔ k = 3

Explanation: