Question

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

Answer 1

Yes

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)