Consider the following table

APPLICATION /15 . Worth 15 points 6. Consider the following table: X y First diff Second diff (inb) Third diff (inb) Fourth diff (inb) Fifth diff (inb) Sixth diff (inb) -2 2 -4 3 -6 - 2 4 -8 - 2 0 0 5 14 22 24 214 24 6 108 94 72 48 24 7 346 238 44 72 24 mial (a) 2 marks By constructing a table of differences, verify that the underlying function is a polyno- fourth diff same answers ..a polynomial. (b) HENCE, find: i. 1/2 mark the degree of the polynomial