Question

According to the rational root theorem, what are all the potential rational roots of f(x)=5x^3-7x+11

Answer 1

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

Explanation:

The given polynomial function is

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

According to the Rational Roots Theorem, the ratio of all factors of the constant term expressed over the factors of the leading coefficient.

The potential rational roots are

`\pm(11)/(1)=\pm11`

`\pm(1)/(1)=\pm1`

`\pm(11)/(5)`

`\pm(1)/(5)`