Factor x^8 - y^8 as the product of four polynomials of degree 1, each of which has a positive coefficient of x.
+23252 x8 - y8 = (x4 - y4)(x4 + y4)
= (x2 - y2)(x2 + y2)(x4 + y4)
= (x - y)(x + y)(x2 + y2)(x4 + y4)
This is factored as the product of four polynomials but is not the product of four polynomials
of degree 1 because that is impossible.
It is possible to further factor my result if you are allowed to use imaginary factors.
