Correct answer only ! i cannot retake which statements are true about the polynomial function? select each correct answer.

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

Step-by-step 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

step-by-step explanation:

in which figure is point g a centroid