Given, 8x3 - 36x2 + 46x - 15 = 0. Solve,  a. List all possible rational roots or rational zeros. b. Use Descartes’s Rule of Signs to determine the possible number of positive and negative real roots or real zeros. c. Use synthetic division to test the possible rational roots or zeros and find an actual root or zero. d. Use the quotient from part (c) to find all the remaining roots or zeros.

College Algebra
7th Edition
ISBN:9781305115545
Author:James Stewart, Lothar Redlin, Saleem Watson
Publisher:James Stewart, Lothar Redlin, Saleem Watson
Chapter3: Polynomial And Rational Functions
Section: Chapter Questions
Problem 5T: (a) Use synthetic division to find the quotient and remainder when x44x2+2x+5 divided by x — 2. (b)...
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Given, 8x3 - 36x2 + 46x - 15 = 0. Solve, 

a. List all possible rational roots or rational zeros.

b. Use Descartes’s Rule of Signs to determine the possible number of positive and negative real roots or real zeros.

c. Use synthetic division to test the possible rational roots or zeros and find an actual root or zero.

d. Use the quotient from part (c) to find all the remaining roots or zeros.

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