Answer:
The degree of polynomial is 2
Step-by-step explanation:
Given
[tex]p(y) = (y -4)^3 - y^3[/tex]
Required
The degree
When expanded, [tex]p(y) = (y -4)^3 - y^3[/tex] is:
[tex]p(y) =y^3-12y^2+48y-64-y^3[/tex]
Collect like terms
[tex]p(y) =-12y^2+48y-64-y^3+y^3[/tex]
[tex]p(y) =-12y^2+48y-64[/tex]
The degree of freedom is 2
