HELP ASAP - will give 30 points. Response will be reported if you only respond for the points. Using the Fundamental Theorem of Algebra, complete the following exercises. Show your work.

Determine how many, what type, and find the roots for f(x) = x4 + 21x2 − 100.
Determine how many, what type, and find the roots for f(x) = x3 − 5x2 − 25x + 125.
The following graph shows a seventh-degree polynomial:

Part 1: List the polynomial’s zeroes with possible multiplicities.
Part 2: Write a possible factored form of the seventh degree function.

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).