Given h (x) = x-1 and f (x) = x3-x2+x-1 is h (x) a factor of f (x) ?

Yes

Step-by-step explanation:

One way to tell is to look at the remainder from division by x-1, which is the value of f (1).

1³ - 1² + 1 - 1 = 0

so (x - 1) is a factor of f (x).

f (x) = (x - 1) (x^2 + 1) = h (x) (x^2 + 1)