Mathematics: Write all of the potential roots of: p(x) = x^4 − 9x^2 − 4x + 12

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Write all of the potential roots of: p(x) = x^4

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tony7135

10.03.2022

Steps

So to find the potential roots, we will be using the rational root theorem. The rational root theorem is $\pm \frac{p}{q}$ , with p = factors of the constant and q = factors of the leading coefficient. In this case, our constant is 12 and our leading coefficient is 1:

$p=1,2,3,4,6,12\\q=1\\\\\pm\frac{1,2,3,4,5,6,12}{1}\\\\\pm1,\pm\ 2,\pm\ 3,\pm\ 4,\pm\ 6,\pm\ 12$

Answer

In short, our potential roots are: ± 1, ± 2, ± 3, ± 4, ± 6, and ± 12.

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Write all of the potential roots of: p(x) = x^4 − 9x^2 − 4x + 12

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