Question

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

Which statements are true about the polynomial function?

Select each correct answer.

Answer 1

Answer: x = {-5, -1, 0, 1}

Explanation:

f(x) = x⁴ + 5x³ - x² - 5x

0 = x⁴ + 5x³ - x² - 5x

= x(x³ + 5x² - x - 5)

= ↓ x²(x + 5) -1(x + 5)

= ↓ (x + 5)(x²- 1)

= ↓ ↓ (x + 1)(x - 1)

0 = x(x + 5)(x + 1)(x - 1)

x = 0 ⇒ x = 0

x + 5 = 0 ⇒ x = -5

x + 1 = 0 ⇒ x = -1

x - 1 = 0 ⇒ x = 1