Degree of the polynomial x2−1−x34+x2+1−x34, is

We have (x−y)4+(x+y)4=2 4C0x4+4C2x2y2+4C4y4Thus, x2−1−x34+x2+1−x34=2 4C0x24+4C2x221−x3+4C41−x32which is a polynomial of degree 8.