Respuesta :
Answer:
The value of k is 3.
Step-by-step explanation:
consider the provided expression.
It is given that p - 1 is the factor of the expression [tex]p^4+p^2+p-k[/tex]
If p - 1 is the factor of the expression that means the if we put p = 1, the remainder becomes zero.
Thus, substitute the value of p = 1 in the provided equation.
[tex](1)^4+(1)^2+(1)-k=0[/tex]
[tex]1 + 1 + 1 - k = 0[/tex]
[tex]3 - k = 0[/tex]
[tex]- k =-3[/tex]
[tex]k = 3[/tex]
Hence, the value of k is 3.
