Question

What are the zeros of the polynomial function f(x) = x3 - 2x2 - 24x? (1 point)

1) -6, 0, 4
2) 6, 0, -4
3) -6, 0, -4
4) 6,0, 4

Answer 1

f(x) = x³ - 2x² - 24x

x³ - 2x² - 24x = 0

x(x² - 2x - 24) = 0

x = 0

x² - 2x - 24 = 0

a = 1, b = -2, c = -24

Delta = (-2)² - 4 * 1 * (-24) = 4 + 96 = 100

x = (-(-2) - 10)/(2 * 1) = -8/2 = -4

x = (-(-2) + 10)/(2 * 1) = 12/2 = 6

Answer: 2)