Question

In each of the following, use factor theorem to find whether polynomial g(x) is a factor of polynomial f(x) or, not: (1−7)

f(x) = x³ − 6x² + 11x − 6; g(x) = x − 3

Answer 1

Given that:

By the factor theorem,

If g(x) is a factor of f(x)

i.e.

Then

As is zero therefore g(x), is the factor of polynomial f(x).