The factors of the constant term were divided by 3 instead of 1; The possible rational zeros of f are ±1, ±2, ±4, ± 8. The factors were listed as instead of ; The possible rational zeros of f are ±1, +, ±2, ±, ±4, ±, ±8, 3' There should only be positive zeros because the constant term is positive; The possible rational zeros of j are 1, 3, 7 2 78 1 1 3 There should only be fractions because rational zeros must be fractions; The possible rational zeros of f are + +, + =

College Algebra (MindTap Course List)
12th Edition
ISBN:9781305652231
Author:R. David Gustafson, Jeff Hughes
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Chapter4: Polynomial And Rational Functions
Section4.CR: Chapter Review
Problem 78E
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This equation is about solving polynomial equations. In which describe and correct the error in listing the possible rationale zeros of the function. Photo shown below
The factors of the constant term were divided by 3 instead of 1; The possible
rational zeros of f are +1, ±2, +4, ±8.
The factors were listed as
instead of ; The possible rational zeros of f are
±1, ± , ±2, ±를, ±4, ±, ±8, ±.
There should only be positive zeros because the constant term is positive; The
possible rational zeros of f are 1, 3, , i 57
1.
3
3 3
There should only be fractions because rational zeros must be fractions; The
possible rational zeros of f are
4
Transcribed Image Text:The factors of the constant term were divided by 3 instead of 1; The possible rational zeros of f are +1, ±2, +4, ±8. The factors were listed as instead of ; The possible rational zeros of f are ±1, ± , ±2, ±를, ±4, ±, ±8, ±. There should only be positive zeros because the constant term is positive; The possible rational zeros of f are 1, 3, , i 57 1. 3 3 3 There should only be fractions because rational zeros must be fractions; The possible rational zeros of f are 4
f(x) = 3x + 13x2-41x+8
Posslble ratlonal zeros of f:
The footor
Transcribed Image Text:f(x) = 3x + 13x2-41x+8 Posslble ratlonal zeros of f: The footor
Expert Solution
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.

f(x)=3x^3+13x^2-41x+8

to find the zeros, take f(x)=0

3x^3+13x^2-41x+8=0

here leading coefficient is a_n=3

\mathrm{The\:dividers\:of\:}a_n:\quad 1,\:3

and the constant term is a_0=8

\mathrm{The\:dividers\:of\:}a_0:\quad 1,\:2,\:4,\:8

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