Rational zero theorem Use the Rational Zero Theorem to list all possible rational zeros for the given function.f(x) = - 3x4 - 20x³ + 7x2 – 20x + 6Choose the answer below that lists all possible rational zeros.OA.11- 1,1, - 2,2, – 3,3, – 6,6, –2'21 1112 23 36'63'33'32'2О в.1 11 11 1- 1,1, - 2,2, – 3,3, – 6,6, –2'23'36'6OC.3 31 1- 1,1, - 3,3, –2'2111 16'63'32'2O D.11- 1,1, - 2,2, – 3,3, – 6,6, –3'32 23'3M IN

By rational zero theorem possible rational roots=factors of constant termfactors of leading…

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Use the Rational Zero Theorem to list all possible rational zeros for the given function. f(x) = - 3x4 - 20x3 +7x2 - 20x+ 6 ...

College Algebra (MindTap Course List)

12th Edition

ISBN:9781305652231

Author:R. David Gustafson, Jeff Hughes

Publisher:R. David Gustafson, Jeff Hughes

Chapter4: Polynomial And Rational Functions

Section4.CR: Chapter Review

Problem 73E

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Rational zero theorem

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By rational zero theorem

$p o s s i b l e r a t i o n a l r o o t s = \frac{f a c t o r s o f c o n s \tan t t e r m}{f a c t o r s o f l e a d i n g c o e f f i c i e n t} p o s s i b l e r a t i o n a l r o o t s = \frac{f a c t o r s o f 6}{f a c t o r s o f 3} = \frac{+ 1, - 1, + 2, - 2, + 3, - 3, + 6, - 6}{+ 1, - 1, + 3, - 3} = - 1, 1, - 2, 2, - 3, - 3, - 6, 6, \frac{- 1}{3}, \frac{1}{3}, \frac{- 2}{3}, \frac{2}{3}$

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