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Algebra2November08,2018NOTES 3.5FindingRealRootsofPolynomialEquations Recall:ZeroProductProperty Example1:UsingFactoringtoSolvePolynomialEquations Solveeachpolynomialequationbyfactoring. a.3x5+18x4+27x30
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01
Identify the coefficients of the equation in the order of descending powers of the variable.
02
Apply the Rational Root Theorem to find a list of possible rational roots.
03
Use synthetic division or long division to divide the polynomial by these possible roots.
04
Repeat the process with the quotient obtained from the previous division until you find a root or reach a quadratic equation, which can be solved using the quadratic formula.

Who needs 35 finding real roots?

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Students studying algebra or calculus who are learning about finding real roots of polynomial equations.
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Mathematicians and scientists who need to solve equations in real-world problems involving polynomial functions.
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Form 35 is a tax form used to calculate and report real roots of certain financial transactions or income adjustments.
Individuals or businesses that are involved in specific financial activities or transactions requiring the adjustment of income or expense calculations may be required to file Form 35.
To fill out Form 35, you need to gather your financial records, provide the relevant information requested on the form, and ensure all calculations are accurately completed before submission.
The purpose of Form 35 is to provide the tax authorities with accurate information regarding specific financial adjustments to ensure compliance with tax regulations.
Form 35 requires reporting details such as income, expense adjustments, and any relevant financial transactions affecting real roots.
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