Question

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

Answer 1

ANSWER

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

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.

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