PLEASE HELP!! Using the Fundamental Theorem of Algebra, complete the following exercises. Show your work.

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.
3. The following graph shows a seventh-degree polynomial:
(see picture)
Part 1: List the polynomial’s zeroes with possible multiplicities.
Part 2: Write a possible factored form of the seventh degree function.

4. Without plotting any points other than intercepts, draw a possible graph of the following polynomial:
f(x) = (x + 8)³ (x + 6)² (x + 2)(x − 1)³ (x − 3)⁴ (x − 6).