Which of the number(s) below are potential roots of the function?
p(x) = x⁴ + 22x² - 16x - 12

Solution:

p(x) = x⁴ + 22x² - 16x - 12

From the rational root theorem,

All the possible roots of the function are in the form of a rational number.

x =  ± p/q

x = ± (Factors of the constant term)/ (Factors of leading coefficient)

In the given polynomial,

The constant term is - 12

The leading coefficient is 1

The factors of - 12 are ±1, ±2, ±3, ±4, ±6, ±12

Factors of 1 are ±1.

From the rational root theorem, the potential roots of the function are ±1, ±2, ±3, ±4, ±6, ±12.

Therefore, the potential roots of the function are ±1, ±2, ±3, ±4, ±6, ±12.

Which of the number(s) below are potential roots of the function?
p(x) = x⁴ + 22x² - 16x - 12

Summary:

The number(s) below are potential roots of the function p(x) = x⁴ + 22x² - 16x - 12 are ±1, ±2, ±3, ±4, ±6, ±12.