Using the Fundamental Theorem of Algebra, complete the following:

1. Determine how many, what type, and find the roots for f(x) = x4+ 21x2 100.
2. Determine how many, what type, and find the roots for f(x) = x3 5x2 25x + 125

1. Part 1: List the polynomial's zeroes with possible multiplicities.
2. Without plotting any points other than intercepts, draw a possible graph of the following polynomial:
3. f(x) = (x + 8)3(x + 6)2(x + 2)(x 1)3(x 3)4(x 6).