Question

If p − 1 is a factor of p4 + p2 + p − k, the value of k is?

Answer 1

@legomyego180

Answer 2

if (p-1) is a factor , that means (p-1) divides evenly into the polynomial
and we can write the polynomial as
(p-1)* (other factors)
if we set p=1 then (p-1)=0 and 0*(other factors) = 0

in other words, when p=1 we know
p4 + p2 + p − k,= 0

so put in 1 for p, and then solve for k.