Algebra and Trigonometry (6th Edition)
Algebra and Trigonometry (6th Edition)
6th Edition
ISBN: 9780134463216
Author: Robert F. Blitzer
Publisher: PEARSON
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Question
x^3+6x^2-9x-54
--- ### Educational Website - Algebra Section #### Screenshot Analysis: Polynomial Equations ##### Question: Determine the real zeros of the polynomial \( x^3 + 6x^2 - 9x - 54 \). ##### Options: A. 1, 2, 27 B. -6, -3, -6 C. 3, -3, -6 D. -6, 3, -6 E. 2, -1, 18 F. 3, 3, -6 ##### Explanation: To solve for the real zeros (roots) of the polynomial \( x^3 + 6x^2 - 9x - 54 \), one can use various methods such as factoring, synthetic division, or numerical approaches like the Rational Root Theorem. **Next Steps:** - Factor the polynomial or use synthetic division to find the roots. - Verify the roots by substituting them back into the polynomial equation to ensure they satisfy the equation. ##### Diagram/Graph: The image does not include a graph or diagram related to the polynomial equation. ##### Interface Details: - The top of the screenshot shows a URL from an educational platform: "f1.app.edmentum.com". - There are various icons for applications/services such as YouTube, Hulu, Netflix, HBO Max, and Spotify indicating this is from a web-based environment. - The top bar indicates the navigation controls "Next" button and the heading "End Of Semester Test". ##### Additional Controls: - There is a visible "Reset" button at the bottom right of the question, allowing users to clear their answers and reattempt the question. ---
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Transcribed Image Text:--- ### Educational Website - Algebra Section #### Screenshot Analysis: Polynomial Equations ##### Question: Determine the real zeros of the polynomial \( x^3 + 6x^2 - 9x - 54 \). ##### Options: A. 1, 2, 27 B. -6, -3, -6 C. 3, -3, -6 D. -6, 3, -6 E. 2, -1, 18 F. 3, 3, -6 ##### Explanation: To solve for the real zeros (roots) of the polynomial \( x^3 + 6x^2 - 9x - 54 \), one can use various methods such as factoring, synthetic division, or numerical approaches like the Rational Root Theorem. **Next Steps:** - Factor the polynomial or use synthetic division to find the roots. - Verify the roots by substituting them back into the polynomial equation to ensure they satisfy the equation. ##### Diagram/Graph: The image does not include a graph or diagram related to the polynomial equation. ##### Interface Details: - The top of the screenshot shows a URL from an educational platform: "f1.app.edmentum.com". - There are various icons for applications/services such as YouTube, Hulu, Netflix, HBO Max, and Spotify indicating this is from a web-based environment. - The top bar indicates the navigation controls "Next" button and the heading "End Of Semester Test". ##### Additional Controls: - There is a visible "Reset" button at the bottom right of the question, allowing users to clear their answers and reattempt the question. ---
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