Question

is (x-2) a factor of the polynomial P(x)=3x^6-192?

Answer 1

if so P(2) = 0
P(2) = 3(2)^6 - 192 = 3*64 - 192 = 0

so by factor theorem (x-2) is a factor

Answer 2

Oh wow, look at that. I'm going to have to study factor theorem

Answer 3

yes - its handy - its really a special case of the remainder theorem

Answer 4

Now, that you've mentioned that, I think I get it