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

User Davarisg
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2 Answers

5 votes

Answer:

The answer is B " +/- 1/5 , +/- 1 , +/- 11/5 , +/- 11 "

Explanation:

User Ahmadou
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2 votes

ANSWER


\pm1,\pm11,\pm (1)/(5) \pm (11)/(5)

EXPLANATION

The given function is;


f(x) = 5 {x}^(2) - 7x + 11

The constant term is 11.

The coefficient of the leading term is 5.

The factors of 11 are ±1,±11

The factors of 5 are ±1,±5

According to the Rational roots Theorem,

the potential roots are obtained by expressing the factors of the constant term over the coefficient of the leading term.


\pm1,\pm11,\pm (1)/(5) \pm (11)/(5)

User HumbleBeginnings
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