Question 4: Consider the polynomial equation 8x443 18a211- 2 = 0 (a) Using the Rational Root Theorem, show work to find the possible roots c of this equation (b) Using synthetic division, show work to find one rational root c. Hint: try positive c's. (c) Use the Factor Theorem to rewrite f as f (x) = (x - c)q(x) with the synthetic division you just did. (d) Using the Rational Root Theorem for q(x), show work to find possible zeros c of q (e) Using synthetic division, show work to find one rational root c2 of q. Hint: try positive c's. (f) Use the Factor Theorem to write q(x) = (x - c2)q2(x) with the new root c2 and new quotient q2. (This is two problems in one it will be separated for test purposes, with different numbers, of course)

Question 4: Consider the polynomial equation 8x443 18a211- 2 = 0 (a) Using the Rational Root Theorem, show work to find the possible roots c of this equation (b) Using synthetic division, show work to find one rational root c. Hint: try positive c's. (c) Use the Factor Theorem to rewrite f as f (x) = (x - c)q(x) with the synthetic division you just did. (d) Using the Rational Root Theorem for q(x), show work to find possible zeros c of q (e) Using synthetic division, show work to find one rational root c2 of q. Hint: try positive c's. (f) Use the Factor Theorem to write q(x) = (x - c2)q2(x) with the new root c2 and new quotient q2. (This is two problems in one it will be separated for test purposes, with different numbers, of course)

Algebra for College Students

10th Edition

ISBN:9781285195780

Author:Jerome E. Kaufmann, Karen L. Schwitters

Publisher:Jerome E. Kaufmann, Karen L. Schwitters

Chapter9: Polynomial And Rational Functions

Section9.4: Graphing Polynomial Functions

Problem 47PS

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