Which of the number(s) below are potential roots of the function? p(x) = x4 + 22x2 – 16x – 12 ±6 ±1 ±3 ±8

Answer:The potential roots of the function are ±6, ±1, ±3. The options 1, 2 and 3 are correct.Step-by-step explanation:The given function is[tex]p(x)=x^2+22x^2-16x-12[/tex]According to the rational root theorem, all the possible roots of the function are in the form of[tex]x=\pm \frac{\text{Factors of constant term}}{\text{Factors of leading coefficient}}[/tex]In the given function constant term is -12 and the leading coefficient is 1.Factors of -12 are ±1, ±2, ±3, ±4, ±6, ±12.The factors of 1 are ±1.By using rational root theorem, the potential roots of the function are ±1, ±2, ±3, ±4, ±6, ±12.Therefore the options 1, 2 and 3 are correct.