Factor polynomial completely

ax - 2a - 5x +10

looks like "grouping" here

a(x-2) - 5(x-2)
= (x-2)(a-5)

To factor the polynomial completely, we can first group the terms together.

Given: ax - 2a - 5x + 10

Rearranging the terms, we can group the common factors:
(a - 2)(x - 5)

So, the fully factored form of the polynomial is (a - 2)(x - 5).