Yes
It is called a sextic polynomial.
-2 and -6
x.x-5x+6
-6 Check: -6+4-6+8 = 0
6+6=12 Boom polynomial
3(7x-6)
It is 6.
Yes.
6.(x2 + 12x + 36) = 6.(x + 6)(x + 6)
For example, if you divide a polynomial of degree 2 by a polynomial of degree 1, you'll get a result of degree 1. Similarly, you can divide a polynomial of degree 4 by one of degree 2, a polynomial of degree 6 by one of degree 3, etc.
(x-2)(x-3)
-32