document.write( "Question 489208: Using complete sentences, describe how you would find all possible rational zeros of the polynomial function f(x) = 4x3 – 5x2 + 9x – 6. Be sure to provide the answer in your explanation. \n" ); document.write( "

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Using complete sentences, describe how you would find all possible rational zeros of the polynomial function f(x) = 4x3 – 5x2 + 9x – 6. Be sure to provide the answer in your explanation.
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\n" ); document.write( "f(x) = 4x3 – 5x2 + 9x – 6
\n" ); document.write( "Two ways you can work this problem.
\n" ); document.write( "The first way: if you are allowed to use a graphing calculator, find one of the rational zeros, if there is one, then calculate the remaining zeros by factoring or using the quadratic formula.
\n" ); document.write( "If you are not allowed to use a graphing calculator, you can use the rational roots theorem, which is a time-consuming process. I will be using the former process.
\n" ); document.write( "..
\n" ); document.write( "The graphing calculator shows there is only one real but irrational root, 0.794454..., which means the other two roots are non-real or imaginary. I wonder what the purpose of this problem was as the answers are unusual. If you had chosen to use the rational roots method, it would have been most frustrating. \n" ); document.write( "

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