For the given pattern, find
*
f
*
(5) and
*
f
*
(6).

*
f
*
(1) = 1
^{
3
}
=1

*
f
*
(2) = 1
^{
3
}
+ 2
^{
3
}
= 9

*
f
*
(3) = 1
^{
3
}
+ 2
^{
3
}
+ 3
^{
3
}
= 36

*
f
*
(4) = 1
^{
3
}
+ 2
^{
3
}
+ 3
^{
3
}
+ 4
^{
3
}
= 100

Also find the degree of the polynomial
*
f
*
(n) using the Polynomial –Difference Theorem.