1. Write the problem and its number on your page. Be sure to have clear problem numbers, answers, and the corresponding work for EACH problem in order. 2. List all of the possible rational roots. 3. Then use synthetic division to test the possible rational roots and factor as far as possible. 4. Identify complex roots, if any. 5. Sketch a careful graph of the function. You must: o correctly show the end behavior o the shape of the graph near x-intercepts o (if relevant) anything you can learn by considering symmetry and transformations Unit 6 Problems 2 p(x) =x*+4x³+13x²+36x +36

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
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For each of the following 3 polynomials, do all of the following:
1. Write the problem and its number on your page. Be sure to have clear problem numbers, answers, and the corresponding
work for EACH problem in order.
2. List all of the possible rational roots.
3. Then use synthetic division to test the possible rational roots and factor as far as possible.
4. Identify complex roots, if any.
5. Sketch a careful graph of the function. You must:
o correctly show the end behavior
o the shape of the graph near x-intercepts
o (if relevant) anything you can learn by considering symmetry and transformations
Unit 6 Problems
2. p(x) =x*+4x³+ 13x²+36x +36
Transcribed Image Text:For each of the following 3 polynomials, do all of the following: 1. Write the problem and its number on your page. Be sure to have clear problem numbers, answers, and the corresponding work for EACH problem in order. 2. List all of the possible rational roots. 3. Then use synthetic division to test the possible rational roots and factor as far as possible. 4. Identify complex roots, if any. 5. Sketch a careful graph of the function. You must: o correctly show the end behavior o the shape of the graph near x-intercepts o (if relevant) anything you can learn by considering symmetry and transformations Unit 6 Problems 2. p(x) =x*+4x³+ 13x²+36x +36
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