Question

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

Answer 1

Answer:

$\pm11,\pm1,\pm\frac{11}{5},\pm\frac{1}{5}$

Step-by-step 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

$\pm\frac{11}{1}=\pm11$

$\pm\frac{1}{1}=\pm1$

$\pm\frac{11}{5}$

$\pm\frac{1}{5}$