Question

Find the value of k, if x-lis a factor of p(x) in each of the
following cases: (any 1)
a) p(x) = x3 + x + k
DET​

Answer 1

since x-1 is a factor

p(1) = 0

put x-1 = 0. so x= 1

p(1) = 1³+1 + k

0 = 1+1+k

-2= k