Correct answer only ! i cannot retake what are the factors of the polynomial function? use the rational root theorem to determine the factors.

(x - 2)(x + 2)(2x + 1)

Step-by-step explanation:

        q                     p

f(x) = 2x³ + x² - 8x - 4

rational root theorem: so the possible roots are: +/- 1, 2, 4,

Let's try x = 2

2  |   2     1     -8     -4

   |   ↓     4     10     4

       2     5     2      0   remainder is 0 so (x - 2) is a factor

0 = (x - 2)  (2x² + 5x + 2)

0 = (x - 2)  (x + 2)(2x + 1)

step-by-step explanation: