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According to the Rational Root Theorem, what are all the potential rational roots of f(x) = 5x3 – 7x + 11?

User BSJ
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2 Answers

6 votes

Answer: B

Explanation:

Edge let me know if i am right

User Mtraceur
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3 votes

Solution:

we have been asked to find the potential roots of the function


f(x) = 5x^3-7x + 11

using rational root theorem.

Here the constant term is 11 with factors 1 and 11 and the leading coefficients is 5 with factors 1 and 5.

So the potential roots of the given function as per the rational root theorem is


\pm(1,11)/(1,5) =\pm(1)/(1,5) ,\pm(11)/(1,5)=\pm(1)/(1) ,\pm(11)/(1)\pm(1)/(5) ,\pm(11)/(5)\\\\\\\text{Hence the potential roots are }\\\\\pm1,\pm11,\pm(1)/(5),\pm(11)/(5)

User Clcto
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