Question

I NEED HELP PLEASE, THANK YOU! :)

Answer 1

Answer: b) ±1, ±2, ±7, ±14, ±1/3, ±2/3, ±7/3, ±14/3

Explanation:

The possible rational roots are all of the factors of P (coefficient of last term) divided by each of the factors of Q (coefficient of first term).

-3x⁴ - 9x³ - 6x² - 8x + 14

`(P)/(Q)=(factors\ of\ 14)/(factors\ of\ 3)=\pm (1,2,7,14)/(1,3)\\\\\\=\pm \bigg\{(1)/(1),(2)/(1),(7)/(1),(14)/(1), \quad (1)/(3), (2)/(3), (7)/(3), (14)/(3)\bigg\}\\\\\\=\pm \bigg\{1, 2, 7, 14, \quad (1)/(3), (2)/(3), (7)/(3), (14)/(3)\bigg\}`