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17. f(x) = x³ - 7x − 6 -

17. f(x) = x³ - 7x − 6 -

Algebra and Trigonometry (6th Edition)
Algebra and Trigonometry (6th Edition)
6th Edition
ISBN:9780134463216
Author:Robert F. Blitzer
Publisher:Robert F. Blitzer
ChapterP: Prerequisites: Fundamental Concepts Of Algebra
Section: Chapter Questions
Problem 1MCCP: In Exercises 1-25, simplify the given expression or perform the indicated operation (and simplify,...
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SEP 19 TU. M JA 12. x4 - 5x³ + 9x² - 7x + 2 = 0 14. 2x4 - x³ - 6x + 3 = 0 Q Q 23. Suppose f(x) = (x - 2)(x + 2)(x + 1)². a. Determine the zeros of the function. 16. State the number of complex roots, the number of positive real roots, an - number of negative real roots of x4 - 2x³ + 7x² + 4x 15 = 0. E Find the number of possible positive real zeros and the number of possible negative real zeros for each function. Then determine the rational zeros. 17. f(x) = x³ - 7x - 6 18. f(x) = x³ - 2x² - 8x - 19. f(x) = x³ + 3x² - 10x - 24 21. f(x) = x² + 2x³ - 9x² - 2x + 8 - 20. f(x) = 10x³ − 17x² − 7x + 2 22. f(x) = x² - 5x² + 4 ● D b. Write f(x) as a polynomial function. c. Use Descartes' Rule of Signs to find the number of possible positive real and the number of possible negative real roots. d. Compare your answers to part a and part c. Explain. ♫ 24. Manufacturing The specifications for a new cardboard container require th the width for the container be 4 inches less than the length and the height be 1 inch less than twice the length. C a. Write a polynomial function that models the volume of the container in ter: of its length. b. Write an equation if the volume must be 2208 cubic inches. c. Find the dimensions of the new container. 0 A 13. x³5x² - 4x + 20 = 0 15. 6x4 + 35x3 - x² - 7x-1=0 25. Critical Thinking Write a polynomial equation for each restriction. a. fourth degree with no positive real roots b. third degree with no negative real roots c. third degree with exactly one positive root and exactly one negative real root reither لف Q Search 10 átv MacBook Air W D A
Transcribed Image Text:SEP 19 TU. M JA 12. x4 - 5x³ + 9x² - 7x + 2 = 0 14. 2x4 - x³ - 6x + 3 = 0 Q Q 23. Suppose f(x) = (x - 2)(x + 2)(x + 1)². a. Determine the zeros of the function. 16. State the number of complex roots, the number of positive real roots, an - number of negative real roots of x4 - 2x³ + 7x² + 4x 15 = 0. E Find the number of possible positive real zeros and the number of possible negative real zeros for each function. Then determine the rational zeros. 17. f(x) = x³ - 7x - 6 18. f(x) = x³ - 2x² - 8x - 19. f(x) = x³ + 3x² - 10x - 24 21. f(x) = x² + 2x³ - 9x² - 2x + 8 - 20. f(x) = 10x³ − 17x² − 7x + 2 22. f(x) = x² - 5x² + 4 ● D b. Write f(x) as a polynomial function. c. Use Descartes' Rule of Signs to find the number of possible positive real and the number of possible negative real roots. d. Compare your answers to part a and part c. Explain. ♫ 24. Manufacturing The specifications for a new cardboard container require th the width for the container be 4 inches less than the length and the height be 1 inch less than twice the length. C a. Write a polynomial function that models the volume of the container in ter: of its length. b. Write an equation if the volume must be 2208 cubic inches. c. Find the dimensions of the new container. 0 A 13. x³5x² - 4x + 20 = 0 15. 6x4 + 35x3 - x² - 7x-1=0 25. Critical Thinking Write a polynomial equation for each restriction. a. fourth degree with no positive real roots b. third degree with no negative real roots c. third degree with exactly one positive root and exactly one negative real root reither لف Q Search 10 átv MacBook Air W D A
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