Question

Show that (x − 2), (x + 3) and (x − 4) are factors of x³ − 3x² − 10x + 24.

Answer 1

Let be the given polynomial.

By factor theorem,

and are the factor of f(x).

If and f(4) are all equal to zero.

Now,

also

And

Hence, and are the factor of polynomial f(x).