Rational Zero Test

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May 2010
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.Rational Zero Test

use the rational zero test to list all possible rational zeros of f for: f(x) = 4x^5-8x^4-5x^3+10x^2+x-2
 
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CaptainBlack

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use the rational zero test to list all possible rational zeros of f for: f(x) = 4x^5-8x^4-5x^3+10x^2+x-2
Well the rational roots theorem tells you that all the rational roots are of the form a/b where a is a (positive or negative) divisor of the constant term and b a divisor of the coefficient of the term of highest degree.

So list them and you are done.

CB
 
May 2010
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i dont understand?
 
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CaptainBlack

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Well the rational roots theorem tells you that all the rational roots are of the form a/b where a is a (positive or negative) divisor of the constant term and b a divisor of the coefficient of the term of highest degree.

So list them and you are done.

CB
i dont understand?
In this case it means that possible values of \(\displaystyle a\) are \(\displaystyle \pm 1\), \(\displaystyle \pm 2\) and \(\displaystyle b\) are \(\displaystyle 1, 2, 4\)

CB
 
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