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) = 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).

Algebra: Structure And Method, Book 1
(REV)00th Edition
ISBN:9780395977224
Author:Richard G. Brown, Mary P. Dolciani, Robert H. Sorgenfrey, William L. Cole
Publisher:Richard G. Brown, Mary P. Dolciani, Robert H. Sorgenfrey, William L. Cole
Chapter2: Working With Real Numbers
Section2.3: Rules For Addition
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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) = x3 − 5x2 − 25x + 125.
  2. 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.

  3. 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).
4
3
2
+VI +++
-6 -5 -4 -3 -2
2/3
3 4 5 6
8
-2
-3
Transcribed Image Text:4 3 2 +VI +++ -6 -5 -4 -3 -2 2/3 3 4 5 6 8 -2 -3
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