Question

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

Answer 1

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

Explanation:

Answer 2

`\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)`