The graph of a degree 6 polynomial is shown below..4+2-3-2123-1-2+-3-The graph has 3 distinct roots.Find the following information about each root:a. Root 1:Zero at a = - 1. Multiplicity =b. Root 2:Zero at x =Multiplicity = 1.c. Root 3:Zero at x =Multiplicity =3.

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Answered: The graph of a degree 6 polynomial is…

Advanced Engineering Mathematics

10th Edition

ISBN:9780470458365

Author:Erwin Kreyszig

Publisher:Erwin Kreyszig

Chapter2: Second-order Linear Odes

Section: Chapter Questions

Problem 1RQ

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The image shows the graph of a degree 7 polynomial with leading coefficient -1 whose roots are -1, 0.5, 2.25, 4, Answer the following statementsa. What is the multiplicity of the first root?b. What is the multiplicity of the second root?c. Find the multiplicity of the third rootd.Find the multiplicity of the last roote. Find the value of the constant term Answer
Please write the steps of this question and circle the answer so that I can understand. Please write the answer in an organized way if possible so that I can understand and identify the numbers. For each step, please specify which answer corresponds to which step. I appreciate your understanding.
The graph of the polynomial function is given. Select the algebraic equation that matches the graph. y C a Select one: O a. y = k(x +a)(x - b) (x- c), k, a, b, c > 0 O b. y = k(x - a)(x + b)² (x + c), k, a, b, c > 0 O c. y= k(x+ a)(x - b)² (x- c), k, a, b, c > 0 O d. y= k(x- a)(x +b) (x +c)°, k, a, b, c > 0 |
Write a polynomial that is best represented by the graph. (-7,0) (-6, 0) 10 | (1.0) y = x – 12x² + 29x + 42 y = x³ + 12x² + 29x – 42 O A) B.) y = x – 14x? + 55x – 42 y = x³ + 14x² + 55x + 42
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Please find the information needed for the polynomial graph.
4. For each graph below, answer the following. a. Is the polynomial an even or odd degree polynomial? b. Is the leading coefficient positive or negative. c. State the end behavior of the function, ie as zoo, y → ? and as z →-∞, y → ? d. State each zero (z-intercept) in point form with its multiplicity. Note the overall degree of the polynomial listed with the graph. e. State the y-intercept in point form. f. Find a possible formula for the graph using your answers above. Remember to find the leading coefficient, using either the y-intercept or another point on the graph. g. As always, please discuss each with your group, and make sure you agree on your answers. Share your work. H (050) Sixth Degree Polynomial Seventh Degree Polynomial

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The graph of a degree 6 polynomial is shown below.. 4+ 2 -3 -2 1 2 3 -1 -2+ -3- The graph has 3 distinct roots. Find the following information about each root: a. Root 1: Zero at a = - 1. Multiplicity = b. Root 2: Zero at x = Multiplicity = 1. c. Root 3: Zero at x = Multiplicity = 3.