Question

(x3-2) is a factor of the polynomial x3-x2-4

Answer 1

Let f (x) = x³ - x² - 4

By trial and error method we see that when x = 2

x³ - x² - 4

==> 2³ - 2² - 4

==> 8 - 4 -4 = 0

By factor theorem :

Thus x - 2 is a factor of the polynomial.

Hope it helps u :-)

_________________________________________________________________