Use the Factor Theorem to find all real zeros for the given polynomial function and one factor. (Enter your answers as a comma-separated list.)f(x) = 4x3 − 19x2 + 29x − 14; x − 1

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DavyanC194499idn DavyanC194499idn

03-11-2022
Mathematics

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Use the Factor Theorem to find all real zeros for the given polynomial function and one factor. (Enter your answers as a comma-separated list.)f(x) = 4x3 − 19x2 + 29x − 14; x − 1

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YaredU745675idn YaredU745675idn · Answer 1 · 2022-11-03T08:57:19-04:00

Given:

The polynomial and one factor

[tex]f(x)=4x^3-19x^2+29x-14[/tex]

Required:

Use the Factor Theorem to find all real zeros for the given polynomial function and one factor.

Explanation:

We have one factor, we will us that

[tex]\begin{gathered} =\frac{4x^3-19x^2+29x-14}{x-1} \\ \text{ It can be written as } \\ =(x-1)(4x^2-15x+14) \\ \text{ So, roots are} \\ =1,2,\frac{7}{4} \end{gathered}[/tex]

Answer:

answered the question.

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