Question

PLEASE HELP ASAP!!! CORRECT ANSWER ONLY PLEASE!!! I CANNOT RETAKE THIS!!

What are the factors of the polynomial function?

Use the rational root theorem to determine the factors.

Answer 1

Answer: X - 2 ( X + 2) (2 x + 1)

Answer 2

Answer: (x - 2)(x + 2)(2x + 1)

Explanation:

q p

f(x) = 2x³ + x² - 8x - 4

rational root theorem:
`(p)/(q) = +/- (1, 2, 4)/(1, 2)` so the possible roots are: +/- 1, 2, 4,
`(1)/(2)`

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)